Даже если в комнате шумно, я всё равно дочитаю эту книгу.

Даже если means even if.

• если = if
• даже если = even if

So:

• Если в комнате шумно, я дочитаю книгу = If the room is noisy, I’ll finish the book
• Даже если в комнате шумно, я всё равно дочитаю эту книгу = Even if the room is noisy, I’ll still finish this book

The phrase даже если adds a stronger sense of contrast: the condition will not stop the speaker.

Yes, they work together to strengthen the idea.

• даже если introduces a difficult or unfavorable condition: even if
• всё равно emphasizes that the result will happen anyway: still / all the same / anyway

So the structure is very natural in Russian:

• Даже если X, я всё равно Y.
• Even if X, I’ll still Y.

English often does the same thing:

• Even if it’s noisy, I’ll still finish the book.

You could sometimes omit всё равно, but with it the sentence sounds more emphatic and complete.

In this sentence, всё равно means still, anyway, or all the same.

It expresses that something will happen regardless of circumstances.

Examples:

• Я всё равно пойду. = I’m going anyway / I’ll still go.
• Он всё равно не согласится. = He still won’t agree / He won’t agree anyway.

Literally, learners often hear that всё равно is something like it’s all the same, and that helps explain the idea: the obstacle does not change the outcome.

В комнате means in the room.

• в = in
• комната = room
• after в meaning location, Russian usually uses the prepositional case
• комната → в комнате

So:

• комната = room
• в комнате = in the room

This is a very common pattern:

• в доме = in the house
• в школе = at/in school
• в машине = in the car

Because шумно is not a regular adjective here. It is a predicative adverb (sometimes called a category of state word), used to describe an environment or situation.

So:

• В комнате шумно = It’s noisy in the room
• not The room is noisy in the adjective-agreement sense

Compare:

• Шумная комната = a noisy room
  Here шумная is a normal adjective modifying комната.
• В комнате шумно = It is noisy in the room
  Here шумно describes the situation.

Russian often uses this kind of word:

• холодно = it’s cold
• темно = it’s dark
• тихо = it’s quiet
• жарко = it’s hot

Дочитаю comes from дочитать / дочитывать, which means to finish reading something that has already been started.

So я дочитаю эту книгу means:

• I’ll finish reading this book
• specifically: I’ll get to the end of it

This is slightly different from прочитаю:

• прочитаю книгу = I’ll read the book / I’ll read it through
• дочитаю книгу = I’ll finish the book, usually implying I’m already partway through it

The prefix до- often gives the sense of up to the end or finish doing:

• дописать = finish writing
• досмотреть = finish watching
• доесть = finish eating

Because the speaker is talking about a completed action in the future: finishing the book.

In Russian, a perfective verb like дочитать has a simple future form:

• я дочитаю = I will finish reading

This is different from imperfective verbs, which form the future with быть:

• я буду читать = I will be reading / I will read (process, not completion)

So here:

• я буду читать эту книгу = I’ll be reading this book
• я дочитаю эту книгу = I’ll finish this book

The sentence needs the second idea, because the point is that the speaker will reach the end despite the noise.

Because книгу is the direct object of дочитаю, so it must be in the accusative case.

• nominative: эта книга = this book
• accusative: эту книгу = this book (as an object)

Since the speaker is finishing this book, Russian uses the object form:

• Я дочитаю эту книгу. = I’ll finish this book.

Both words change:

• эта → эту
• книга → книгу

This is a standard pattern for feminine singular nouns and matching demonstratives.

Yes. Russian word order is flexible, although different orders can sound more natural in different contexts or place emphasis differently.

The original sentence:

• Даже если в комнате шумно, я всё равно дочитаю эту книгу.

Possible variations:

• Я всё равно дочитаю эту книгу, даже если в комнате шумно.
• Эту книгу я всё равно дочитаю, даже если в комнате шумно.

These all express basically the same meaning, but the emphasis shifts:

• starting with Даже если... highlights the obstacle first
• starting with Я всё равно... highlights the speaker’s determination
• moving эту книгу forward emphasizes this book in particular

For a learner, the original version is very natural and clear.

Because Даже если в комнате шумно is a subordinate clause, and Russian normally separates subordinate clauses from the main clause with a comma.

Structure:

• subordinate clause: Даже если в комнате шумно
• main clause: я всё равно дочитаю эту книгу

So the comma works like this:

• Even if it’s noisy in the room, I’ll still finish this book.

Russian uses commas with subordinate clauses very consistently, often more consistently than English does.

Not in the same way, and it would sound odd in most contexts.

Russian normally says:

• В комнате шумно = It’s noisy in the room

If you say:

• комната шумная

that means the room is noisy as a characteristic of the room, which is much less natural here. Noise usually comes from what is happening inside the room, not from the room itself as an inherent quality.

So in this sentence, в комнате шумно is definitely the normal choice.

Yes, you could say книгу without эту.

Compare:

• Я всё равно дочитаю книгу. = I’ll still finish the book / a book
• Я всё равно дочитаю эту книгу. = I’ll still finish this book

Using эту makes it more specific and emphatic. It suggests a particular book is being referred to, perhaps one the speaker is holding, reading now, or has already mentioned.

So эту книгу helps give the sentence a stronger, more concrete feel.