The regular verb "lay" appears in several compounds that can be thought of as separate verbs, but which follow the rules for "lay." Here are some examples to illustrate the other "lay" verbs.
I have marked sentences in the passive voice to indicate how the object of the verb becomes the subject of the passive sentence.
All these verbs are regular, and they take an object, just as "lay" does.
My father advised us to lay away money for a rainy day.
The farmers laid some of the early wheat by as a reserve.
The rebels laid down their arms.
Ten employees were laid off.
She laid the compliments on pretty thick.
The sprained ankle laid him up for a week.
The verb "lay out" has several meanings:
The magazine's pages had been laid out for an hour before the editor arrived to approve them.
His aunts carefully laid out his grandfather's body.
She laid out her clothes for the following day.
The governor's campaign strategy was laid out by his aides.
Roman cities were elegantly laid out.
The budget laid out $15,000 for improvements.
The champion laid out his challenger in the second round.