I once asked a similar question. This is what was explained to me: 술로 슬픔을 잊다 is "forget your sorrow through alcohol" Or 술로 시름을 풀다 is "dissolve your anxiety in alcohol" They can be combined in different ways, and there are also several other ways to say it. But they're really not said much - even my examples. In a conversation, one might say 이 슬픔을 풀자. But most commonly would just say something like 술 먹자. In western culture, drinking is a common stress reliever, etc... In Korea, it's just something you do. Social drinking is an important part of financial success. It's something you almost have to do, even if you hate it. Because of the different view, a common slang for drinking your troubles away hasn't really developed.