You Are Sleep
You tend to solve your problems simply. And when you're tired, grouchy, and headache-y, it only makes sense to take a nap.
Not only will sleep cure your hangover, it's also likely to cure anything that ails you ever.
Whenever life gets difficult, you retreat and refuel. And nothing renews you like a little nap time.
Your troubles may not go away forever while you're asleep, but at least they are gone for the moment.