В автобусе не стоит толкать людей, даже если ты очень спешишь.

Because в автобусе means in the bus / on the bus as a location.

After в, Russian can take different cases:

• в + accusative = motion into
• в + prepositional = location in / inside

Here, the sentence talks about what happens while you are on the bus, not about moving into it, so Russian uses the prepositional case:

• автобус → в автобусе

English says on the bus, but Russian normally uses в автобусе.

Here не стоит is an impersonal expression meaning something like:

• it’s not a good idea to...
• you shouldn’t...
• it’s not worth...

So не стоит толкать людей means you shouldn’t push people.

It is softer and more polite than stronger expressions like:

• нельзя = it is forbidden / you must not
• не надо = don’t / no need to
• не следует = one should not (more formal)

So не стоит sounds like advice or a polite warning.

There is no real subject here. This is an impersonal construction.

Russian often uses 3rd person singular neuter-style forms in impersonal expressions:

• стоит = literally stands / is worth, but in this pattern it means it is worth / it is advisable
• не стоит = it is not worth / one should not

So even though there is no visible it, Russian still uses стоит in that fixed impersonal form.

Толкать is the imperfective verb, and it is used because the sentence is talking about the action in a general way:

• as behavior
• as advice
• as something one should not do

In Russian, after expressions like не стоит, the imperfective infinitive is very common when talking about general actions:

• не стоит спорить
• не стоит кричать
• не стоит толкать людей

If you used the perfective толкнуть, it would sound more like to give a single push. That is usually less natural here, because the sentence is about the behavior of pushing people in general.

It is in the accusative — but for animate plural nouns, the accusative plural looks the same as the genitive plural.

So:

• nominative plural: люди
• genitive plural: людей
• accusative plural (animate): людей

Since людей is the direct object of толкать, it is accusative plural. It just happens to have the same form as the genitive.

This is a very important Russian pattern:

• вижу друзей
• люблю детей
• толкать людей

Если means if.

Даже если means even if.

So даже adds emphasis: the advice still applies in that situation too.

• если ты очень спешишь = if you are in a big hurry
• даже если ты очень спешишь = even if you are in a big hurry

It makes the sentence stronger: being in a hurry is not an excuse.

Yes, вы is possible.

Russian often uses ты in general advice, signs, everyday speech, or direct informal style, especially when speaking to a broad audience in a friendly or conversational way.

So:

• если ты очень спешишь = informal, direct, conversational
• если вы очень спешите = polite or formal

If this were a public announcement, poster, or very polite instruction, вы might sound more appropriate. With ты, the sentence feels more personal and less formal.

Спешишь is from спешить, meaning to hurry / to be in a hurry.

It is imperfective because it describes an ongoing state or situation:

• ты очень spешишь = you are in a big hurry

This is not about finishing the act of hurrying; it is about the fact that you are currently rushed.

A similar verb is торопиться. In many contexts, both can work:

• ты очень спешишь
• ты очень торопишься

Both mean you are in a hurry, though the exact tone can vary slightly by context and speaker.

Russian word order is flexible, but changing it can slightly change the focus.

The original:

• В автобусе не стоит толкать людей...

puts the setting first: on the bus, as the main context.

If you say:

• Не стоит толкать людей в автобусе...

it is still understandable, but it can momentarily sound like don’t push the people who are in the bus, rather than emphasizing the location as the general setting.

So the original order is very natural because it clearly frames the situation first.

It is mainly advice or a polite norm of behavior.

Compare:

• В автобусе не стоит толкать людей = You shouldn’t push people on the bus
  softer, more tactful
• В автобусе нельзя толкать людей = You must not push people on the bus
  stronger, like a rule
• Не толкай людей в автобусе = Don’t push people on the bus
  direct command

So не стоит is a good choice when the speaker wants to sound reasonable rather than harsh.

Because даже если ты очень спешишь is a subordinate clause.

Russian normally puts a comma before conjunctions that introduce subordinate clauses, including:

• если = if
• когда = when
• потому что = because
• хотя = although

So the comma in:

• В автобусе не стоит толкать людей, даже если ты очень спешишь.

is standard Russian punctuation.