Я не люблю такую музыку.

Because музыку is the direct object of люблю (I love / like), so it has to be in the accusative case, not the nominative.

• Nominative: такая музыка
• Accusative: такую музыку

The adjective/pronoun такой must agree with музыка in gender, number, and case, so both words change together.

Since музыка is:

• feminine
• singular
• accusative

you get:

• такую музыку

Музыка is a feminine noun ending in -а. In the accusative singular, many feminine nouns of this type change:

• -а → -у

So:

• музыка → музыку

This is a very common pattern:

• книга → книгу
• машина → машину
• работа → работу

Because it has to match музыку.

The word такой changes form depending on the noun it goes with. Here it modifies a feminine singular accusative noun, so the correct form is такую.

A quick comparison:

• такая музыка = nominative
• я люблю такую музыку = accusative

So такую is simply the feminine singular accusative form.

In this sentence, такую means something like:

• that kind of
• this sort of
• music like that
• such music

It usually points to a type or kind of thing, often something already understood from context.

So the sentence is not just about one specific song. It usually means the speaker does not like that kind of music.

In Russian, не usually goes directly before the word it negates. Here it negates the verb:

• люблю = I like / love
• не люблю = I do not like / I don’t love

That is the normal way to make a verb negative in Russian.

Люблю is the 1st person singular form of the verb любить.

That means:

• я люблю = I like / I love

Conjugation of любить in the present tense:

• я люблю
• ты любишь
• он / она любит
• мы любим
• вы любите
• они любят

It can mean either, depending on context.

In Russian, любить is often used both for:

• strong affection: I love
• general preference: I like

With things like music, food, films, or activities, English often translates it as like:

• Я люблю такую музыку = I like that kind of music

But literally, the verb is the same one used for love.

Yes, very often.

Russian verb endings usually make the subject clear, so люблю already tells you the subject is I. That means you can say:

• Не люблю такую музыку.

This is natural in conversation.

Including Я can:

• make the sentence a little clearer,
• add emphasis,
• or simply sound more complete in some contexts.

Yes, and it is very common, but the nuance is a little different.

• Я не люблю такую музыку = I don’t like that kind of music
  More about your general preference.

• Мне не нравится такая музыка = That kind of music doesn’t appeal to me / I don’t like that kind of music
  This uses the pattern нравиться and focuses more on how something seems to you.

Both are correct, but любить and нравиться are different structures.

Good question. Russian sometimes uses the genitive with negation, but in modern standard Russian, with a sentence like this, the accusative is normal and expected:

• Я не люблю такую музыку.

Using the genitive here would sound unusual or wrong for most learners’ purposes.

So the safe rule is:

• with a normal direct object after a negative verb, use the accusative unless you specifically learn a genitive pattern

Yes. Russian word order is more flexible than English word order.

The neutral order here is:

• Я не люблю такую музыку.

But you could also hear:

• Такую музыку я не люблю.
• Я такую музыку не люблю.

These versions shift the emphasis a bit:

• Такую музыку я не люблю. = emphasizes that kind of music
• Я такую музыку не люблю. = often contrasts with something else

Even though the order changes, the case endings still show what each word is doing.

A simple pronunciation guide:

• Я = ya
• не = nye
• люблю = lyu-BLYU
• такую = ta-KU-yu
• музыку = MU-zy-ku

Approximate full pronunciation:

ya nye lyu-BLYU ta-KU-yu MU-zy-ku

The main stresses are on:

• люблЮ
• такУю
• мУзыку