1. Even though I don't like my daughter's boyfriend, I want to show my support for her because I love her. Therefore I have decided to approve of their marriage.2. When I found out the girl of my dreams does not like me at all, I decided to help my love rival win her heart.3. If you have decided to drop out of college, I won't stop you, but you will need to earn your own living.
 to show support for somebody to approve of something to help somebody fulfill his or her wish to help somebody do something will not stop「成人之美」跟「成全」都是幫助人達成某事的意思，白話翻譯即可。
It gives the illusio that you've computed the entire answer immediately.