Casting all your care upon him; for he cares for you. 1Peter 5:7
Imagine a game of ring toss and that all your cares and woes are the rings. Instead of tossing the rings onto a peg, imagine Jesus standing there in your back yard waiting to play with you. He's not all stern and scary. He's kind and loving. He looks at your stack of rings that you've been holding onto and beckens you to give it a try. You grab one, frisbee style, and remember that you are lousy at all competitive sports- be it badminton, croquet, or ring toss. He reminds you that there's no one else around to laugh or mock you if you mess up. It's just you and him. And he never laughs or mocks.
So you let it fly. It wobbles as it makes its way to him. You worry that it will crash and burn before it gets there. Just before he catches it you see a flash of something on his wrist. A scar. He's not ashamed of it. It's just there. You know its for you. Suddenly you lose sight of the ring of care; like it vanished into thin air. In fact the whole pile of rings have grown strangely dim. You're having too much fun with the Saviour.
So, do the troubles actually vanish into thin air? Not necessarily... but the POWER the troubles have over you to enslave absolutely can. "And the peace of God, which passes all understanding shall keep your hearts and minds through Jesus Christ." Philippians 4:7