for the good of = for the sake of, in the interest of, in sympathy with, in favor of, to the advantage of
ngả về, vì lợi ích của, để có lợi cho
1. He was for the good of votes for women.
Ông ấy ngả về phiếu bầu cho phụ nữ.
2. He has resigned his post for the good of his son.
Ông ấy từ chức để có lợi cho con trai mình
How to Master Most Common Constructions with Preposition
Giáo sư Lê Tôn Hiến