Ok I'll just add that the thread overwhelmed me because I have no concept of a graphic card and things like that, haha.
Welcome to our Forum, ziggziggziggy.
The reason your link didn't work is because members who are just registered cannot post links. Once you hit the Newbie category, you will be able to post links. You're only a post or two away from it.
I'm looking at the requirements for running Sims 3 Pets and the laptop you mentioned in your first post (Vaio E series) looks to be pretty powerful. However, I don't know if the graphics card is sufficient. Electronic Arts states that a Nvidia GeForce 6 series or better is required. You listed a Nvidia GeForce 410M, which I'm guessing would be a 4 series.
I'm going to see if Carl has time to come by this thread and help you out. He's the computer expert around here.
I'm also going to move this thread to the Technical Help board.