I can't seem to find a translation for "everyone's" as in "They took everyone's phones." Is there a word for this?
You don't use possessives in Russian the same way as you do in English. We often express possession by using the genitive case:
teacher's book = книга учителя
John's car = машина Джона
Depending on the context, you can sometimes say "телефон каждого (человека)" to mean "everyone's phone". For example,
Телефон каждого (человека) может быть прослушан. = Everyone's phone can be bugged.
But Russian doesn't use possessives as much as English. For example, you normally say "Я почистил зубы" (= I brushed my teeth.), and not "Я почистил
You often use the structure "у меня/у тебя/у него etc." instead of possessive pronouns in Russian:
У меня болит шея. = My neck hurts.
У неё сломалась машина. = Her car broke down.
У него украли бумажник. = His wallet got stolen.
У меня зазвонил телефон. = My phone started ringing.
They took everyone's phones. = (Они) у всех забрали телефоны.