У меня есть надежда, что я скоро закончу этот проект.

In Russian, possession is very often expressed with the pattern у + genitive + есть, literally something like at me there is.

So:

• У меня есть надежда = I have hope / I have a hope

This is much more natural in everyday Russian than я имею надежду, which sounds formal, stiff, or unusual in normal conversation.

A few parallels:

• У меня есть машина = I have a car
• У неё есть брат = She has a brother
• У нас есть идея = We have an idea

So in this sentence, у меня есть is simply the normal Russian way to say I have.

Because after the preposition у, Russian requires the genitive case.

The pronoun я changes like this:

• nominative: я = I
• genitive: меня = of me / at me (after у)

So:

• у меня = at me / with me / I have

This is just a fixed and very common pattern:

• у тебя
• у него
• у неё
• у нас
• у вас
• у них

Here есть means there is / there exists.

So the structure is literally:

• У меня есть надежда
  At me there is hope

In natural English, that becomes:

• I have hope
• I have a hope / a hope that...

An important point: in Russian, есть is often omitted in the present tense when you are simply identifying something, but in possession sentences it is often kept when you want to clearly mean have / there is.

Compare:

• У меня машина. = I have a car / I’ve got a car
• У меня есть машина. = I do have a car / I have a car

Both can work, but есть makes the existence/possession more explicit.

Надежда means hope.

In this sentence, У меня есть надежда, что... means:

• I have hope that...
• I have a hope that...
• more naturally in English: I hope that... or I’m hopeful that...

The Russian wording is a little more noun-based than the most natural English translation.

You may also see the verb:

• Я надеюсь, что... = I hope that...

So these are related but not identical in style:

• У меня есть надежда, что... = I have hope that... / I’m hopeful that...
• Я надеюсь, что... = I hope that...

The version with надежда can sound slightly more deliberate or reflective.

Что here means that and introduces a subordinate clause.

So the sentence splits into two parts:

1. У меня есть надежда = I have hope
2. что я скоро закончу этот проект = that I will soon finish this project

Together:

• У меня есть надежда, что я скоро закончу этот проект.

Russian uses что very often where English may use that, even when English might leave that out.

For example:

• Я знаю, что он придёт. = I know that he will come.
• Я думаю, что это важно. = I think that it is important.

Закончу is the 1st person singular future of the verb закончить, which is a perfective verb.

So:

• я закончу = I will finish

Russian handles the future in two main ways:

1. Perfective future: a simple form

   • я закончу = I will finish

2. Imperfective future: буду + infinitive

   • я буду заканчивать = I will be finishing / I will finish (with focus on process, repetition, or duration)

Here, the speaker is talking about a completed result: finishing the project. That is why закончить (perfective) is the natural choice.

Because буду заканчивать focuses more on the process, not the completed result.

Compare:

• Я скоро закончу этот проект.
  = I will soon finish this project.
  Focus: the project will be completed.

• Я буду заканчивать этот проект.
  = I will be finishing this project.
  Focus: the action/process of working toward the end.

Since the speaker is expressing hope about reaching completion, закончу is the better choice.

Скоро means soon. It modifies the idea of finishing:

• я скоро закончу этот проект = I will soon finish this project

Its placement is flexible, though some positions sound more natural than others.

Common possibilities:

• Я скоро закончу этот проект. — most neutral
• Я закончу этот проект скоро. — possible, but often less neutral
• Скоро я закончу этот проект. — emphasizes soon

So the original word order is very standard and natural.

Because проект is the direct object of закончу, so it goes in the accusative case.

However, проект is a masculine inanimate noun, and for masculine inanimate nouns, the accusative singular looks the same as the nominative singular.

So:

• nominative: этот проект
• accusative: этот проект

That is why the form does not visibly change.

Compare with an animate masculine noun:

• Я вижу этого студента.
  Here the accusative changes because студент is animate.

But with проект, no visible change appears.

Normally, with this kind of structure, что is expected.

• У меня есть надежда, что я скоро закончу этот проект.

Without что, the sentence would sound wrong or at least very unnatural in standard Russian.

Russian usually keeps the conjunction when introducing a full clause after nouns like надежда, мысль, уверенность, and after many verbs such as думать, знать, считать, надеяться.

The sentence has a neutral, natural word order, but Russian word order is more flexible than English word order.

Neutral version:

• У меня есть надежда, что я скоро закончу этот проект.

You might also see variations for emphasis:

• Есть надежда, что я скоро закончу этот проект.
  = There is hope that I’ll soon finish this project.

• Этот проект я скоро закончу.
  = This project, I’ll finish soon.
  Stronger emphasis on this project.

Even though Russian allows movement, the original version is the best default choice for learners because it sounds natural and unmarked.

Yes. A very common alternative is:

• Я надеюсь, что скоро закончу этот проект.
  = I hope that I’ll soon finish this project.

This version is often simpler and more conversational.

The original sentence:

• У меня есть надежда, что я скоро закончу этот проект.

is still correct and natural, but it sounds a bit more like I have hope / I’m hopeful rather than the straightforward I hope.

So both are good, but they have slightly different style:

• Я надеюсь... = more direct, common
• У меня есть надежда... = a bit more formal or reflective

Both are possible, but the meaning and emphasis can shift a little.

• У меня есть надежда, что...
  clearly states I have hope

• У меня надежда, что...
  can occur in conversational speech, but it is less standard here and may sound more elliptical or less careful depending on context

With abstract nouns like надежда, keeping есть is very normal and often preferable for learners.

So if you are learning the pattern, У меня есть надежда, что... is a safe and natural model.