I think the money has a binary character. 1. With money many doors are opened, because for example, you can leave your parents' house and start living on your own which could make you a lot happier. (not the case for everyone.
2. Happines does not always come with money, there are a ton of situations people are unhappy because they work their ass off hating every day of their life just to get that great promotion or just to be able to earn a lot of money once they reached a certain goal (graduating for instance).

So again, it's binary. This discussion is endless.