Simple. When the weight of the world is on your shoulders it's because you have decided to take it on. If I'm carrying more than I can handle, it's really me saying that I don't trust God with it.
"No, God, you just step back. I've got this." Ridiculous, but I do it way too much. We all do.
Let's drop some weight today. It's an act of your will. You control your will. It does not control you. Whatever you're worried about, give that thing over to God - right now.