[verb (plain)] + せいで [i-adj] + せいで [na-adj] + な + せいで [noun] + の + せいで
せいで means "because of", with blame: the cause led to something bad. It goes after the plain form of a verb or an い-adjective; a な-adjective takes な and a noun takes の.
The second half is something that has happened or is the case. An intention, a suggestion or a request can't follow せいで: ×雨のせいで、家にいよう. For a neutral reason, use ので or から.
Pointed at a person, せいで is an accusation. Said to their face, it is blunt.
These go beyond せいで in the middle of a sentence.
At the end of a sentence, せいだ says whose fault it is. せいにする means "to blame something on".
When you are not sure the cause is the real one, せいか says "perhaps because".