You may go out on condition (that) you (should) return before sunset.
日没前に帰るなら外出してもよい
You may go with him if you (so) choose.
行きたいのなら彼といっしょに行ってもいいよ
You may have a trust that people will be driving carefully, but don't trust them.
人は慎重に運転すると思いがちだが，当てにはできない
You may have it and welcome.
さしあげます，どうぞご遠慮なく
You may have it for the asking.
ただですよ
You may rest assured of his success.
彼はきっとうまくやりますから安心してください
You may translate his statement as an admission of guilt.
彼の陳述は罪を認めたものと解釈してよい
You may [might] want to be careful not to go out at night.
夜は出歩かないほうがいいですよ
You may well be right.
おそらく君は正しいだろう
You may well believe it.
君がそれを信じるのももっともだ
