Kávét nem hozhatsz be a tanterembe.

Because kávét is the accusative form of kávé.

In Hungarian, the direct object usually takes the ending -t. Since coffee is the thing being brought, it is the direct object:

• kávé = coffee
• kávét = coffee (as a direct object)

So here kávét means coffee in the sense of bringing coffee.

Because Hungarian often leaves out the article with an indefinite or general object, especially with mass nouns like coffee.

So:

• kávét = coffee, in a general sense
• a kávét = the coffee, a specific coffee

This sentence is about coffee as a category or substance, not one specific cup or serving already known to both speaker and listener.

Hozhatsz comes from the verb hoz = bring.

It is built like this:

• hoz = bring
• -hat/-het = can / may / be allowed to
• -sz = you (2nd person singular)

So:

• hozhatsz = you can bring / you may bring

With nem, it becomes:

• nem hozhatsz = you cannot / may not bring

In this kind of sentence, it often sounds more like a rule: you are not allowed to bring.

Because hozol and hozhatsz mean different things.

• hozol = you bring
• hozhatsz = you can bring / you may bring

This sentence is not describing what you do; it is talking about permission or possibility. That is why Hungarian uses the -hat/-het form.

Be is a verbal prefix (often called a preverb). It means something like in or into.

In a simple positive sentence, it is often attached to the verb:

• Behozhatsz kávét a tanterembe. = You may bring coffee into the classroom.

But with negation, the prefix usually separates from the verb:

• nem hozhatsz be

So the split form is normal here because the sentence is negative.

Because nem normally comes directly before the finite verb to negate it.

Here the finite verb is hozhatsz, so:

• nem hozhatsz

Since the verbal prefix be is pushed away in a negative sentence, the pattern becomes:

• nem hozhatsz be

That is a very common Hungarian structure.

Hungarian word order is flexible, and moving something to the front often gives it emphasis or makes it the topic.

So:

• Kávét nem hozhatsz be a tanterembe.

puts some emphasis on coffee — perhaps implying that coffee, specifically, is not allowed.

A more neutral version could be:

• Nem hozhatsz be kávét a tanterembe.

Both are correct, but the version with kávét first highlights coffee more strongly.

A tanterembe means into the classroom.

Breakdown:

• a = the
• tanterem = classroom
• -be = into

So:

• a tanterembe = into the classroom

This is different from:

• a tanteremben = in the classroom

So -be shows movement into something, while -ben shows being inside something.

Because the object kávét is indefinite.

Hungarian verbs often have two conjugations:

• indefinite conjugation: used with no object, or with an indefinite object
• definite conjugation: used with a definite object

Here the object is just kávét, not a kávét, so Hungarian uses the indefinite form:

• hozhatsz

If the object were definite, you would expect a definite verb form, for example:

• A kávét nem hozhatod be a tanterembe. = You may not bring the coffee into the classroom.

It can technically mean either, because nem hozhatsz may express:

• lack of ability: you can't bring
• lack of permission: you may not / mustn't bring

But in a sentence about a classroom rule, the most natural interpretation is:

• you mustn't bring coffee
• you are not allowed to bring coffee

So the real meaning usually comes from context.

Yes. That is also correct Hungarian.

Compare:

• Nem hozhatsz be kávét a tanterembe. = more neutral
• Kávét nem hozhatsz be a tanterembe. = puts more emphasis on coffee

So the original sentence is not strange; it just has a slightly stronger focus on what is forbidden.