I purchased 2 games from yahoo.My laptop broke,purchased new 1.When I reinstall same games,will I be charged?

I just hope that I won't be charged for a game that I already purchased. Bookworm Adventures was one of the games that I purchased. On my new laptop, I installed the free trial onto my desktop, when the game opens it has a few options you can choose from. "play game" "close game" Directly to the left of this, there is a tab that asks "already lisenced" I click it, thinking because I already purchased the game, then it gives my a message that my receipt will be sent to my email? OMG!!! Did I just get billed again?