Большинство уже здесь.

Because in Russian, the verb to be is usually omitted in the present tense.

So where English says:

• The majority is already here
• Most are already here

Russian simply says:

• Большинство уже здесь

This is completely normal. In the past or future, forms of быть can appear, but in the present they usually do not.

Большинство means the majority or most depending on context.

A few useful points:

• Literally, it is a noun meaning majority.
• In natural English, this sentence is often translated as Most are already here, even though Russian uses a singular noun.
• Very often, большинство is followed by a noun in the genitive, for example:
  • большинство людей = most people / the majority of people
  • большинство студентов = most students

In Большинство уже здесь, the noun after it is simply omitted because the context already makes it clear who most refers to.

Grammatically, большинство is singular.

That is why, when there is an expressed verb in past tense, it usually appears in the neuter singular form:

• Большинство уже пришло. = Most have already arrived.

Why neuter singular? Because большинство is a neuter singular noun.

However, in meaning it refers to a group of people or things, so in English it often feels plural: most are.

Here, большинство is in the nominative case, because it is the subject of the sentence.

In this sentence:

• Большинство = subject
• уже = adverb, already
• здесь = adverb, here

If you expand the phrase, you often get a genitive after большинство:

• Большинство людей уже здесь.
• Большинство гостей уже здесь.

In those examples:

• большинство stays nominative
• людей / гостей are in the genitive

Yes, the word order can change, because Russian word order is relatively flexible.

Большинство уже здесь is the most neutral order.

You may also hear:

• Уже большинство здесь.
• Большинство здесь уже.

But these can sound more marked, depending on emphasis and context.

Very roughly:

• Большинство уже здесь = neutral, standard
• Уже большинство здесь = emphasizes already
• Большинство здесь уже = can sound contrastive or conversational

For learners, the best default is Большинство уже здесь.

Yes, you absolutely could say Большинство уже тут.

Both здесь and тут mean here, but:

• здесь is often felt as slightly more neutral or standard
• тут is often a bit more conversational

So:

• Большинство уже здесь = neutral
• Большинство уже тут = a bit more informal/conversational

In many everyday situations, they are interchangeable.

A rough pronunciation guide is:

bal-shin-STVO oo-ZHE ZDES'

A few details:

• льш in большинство can be tricky; the л is soft.
• ж in уже sounds like the s in measure.
• здесь ends in a soft consonant cluster; the final soft sign ь is not pronounced as a separate sound, but it softens the consonant before it.

A more careful approximation:

bal-shin-STVO oo-ZHÉ zdesʹ

Stress:

• большинство
• уже
• здесь is monosyllabic

Yes. In real usage, Большинство уже здесь often naturally means most people are already here or most of them are already here, depending on context.

Russian often leaves out information that is obvious from the situation.

For example, if people are waiting for guests to arrive, then Большинство уже здесь will naturally be understood as:

• Most of the guests are already here

If you want to be more explicit, you can say:

• Большинство людей уже здесь.
• Большинство гостей уже здесь.

Yes. Depending on nuance, Russian offers several alternatives.

For example:

• Большая часть уже здесь. = A large part is already here
• Почти все уже здесь. = Almost everyone is already here
• Многие уже здесь. = Many are already here
• Большинство людей уже здесь. = Most people are already here

The differences:

• большинство = specifically the majority / most
• большая часть = more literal, a large part
• почти все = almost all
• многие = many, not necessarily most

So Большинство уже здесь is a good choice when you really mean more than half / most.

It normally takes the genitive case.

Examples:

• большинство людей = most people
• большинство студентов = most students
• большинство книг = most of the books

So you can build the sentence like this:

• Большинство людей уже здесь.
• Большинство студентов уже здесь.

This is a very common pattern in Russian:

большинство + genitive

It is neutral and completely natural.

You can use it in:

• everyday conversation
• work situations
• announcements
• casual written messages

It does not sound especially formal or especially slangy.

If you switch здесь to тут, it becomes slightly more conversational:

• Большинство уже тут.

But the original sentence, Большинство уже здесь, is a very standard and safe version to use.