Learn Russian: Не надо вытаскивать моего бедного кота из-за шкафа. - You do not need to pull my poor cat out from behind the wardrobe.

из-за actually has two very common meanings. When talking about reasons, it means 'because of' (like 'because of the rain'). But when talking about physical space and movement, it is a compound preposition meaning 'from behind'. Both uses require the following noun to be in the Genitive case, which is why we see шкафа here.

Why does the phrase моего бедного кота look like it is in the Genitive case? Isn't the cat the direct object?

The cat is the direct object of the verb, so it is indeed in the Accusative case. However, for animate masculine nouns (living beings like a кот), the Accusative endings are identical to the Genitive endings. That is why the nominative мой бедный кот changes to моего бедного кота.

Why is the imperfective verb вытаскивать used here instead of the perfective вытащить?

When you tell someone not to do something using phrases like не надо (there is no need to / you shouldn't), Russian almost always uses the imperfective aspect. It treats the action as a general prohibition or ongoing advice against doing the action at all, rather than focusing on a single completed result.

How does the prefix вы- in вытаскивать add to the spatial meaning of the sentence?