Half life 2 question?

hey all,
i have HL2 and i am dying to play it but my pc is getting fixed and i have this other one that should play it on lowest detail....

so my question is will half life 2 work on my new one when i get it back if i install it on my old one?
thanx 4 ya time....

As long as you use the same Steam account, yes.

omg i am off to play hl2 than.... thanx