〜後で
after (doing), later
Verb た-form + 後で / Noun + の + 後で
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後で (あとで) means "after": 食べた後で薬を飲んでください, "please take the medicine after eating".
It's the mirror image of 前に: the verb before it is in the た-form, because the first action is finished by then. After a noun, add の: 仕事の後で, "after work".
On its own, 後で means "later": 後で電話します, "I'll call you later". It's the classic polite way to put something off.
てから (after doing) is close. 後で simply places B after A in time; てから stresses doing A first, then B, as a sequence.
Examples
ご飯を食べた後で、薬を飲んでください。
Please take the medicine after eating.
授業が終わった後で、図書館に行きます。
After class finishes I'll go to the library.
仕事の後で、飲みに行きませんか。
Would you like to go for a drink after work?
映画を見た後で、ご飯を食べました。
We had dinner after the film.
宿題は後でします。
I'll do my homework later.