Need a new laptop

So I don't really have space or want for a desktop, so i'm wondering what the best laptop to play League on is but for a tight budget. No more than $800 maybe. Not too concerned with screen size. Just something thats a little bit faster than this Mac i've been using.
Best New

We're testing a new feature that gives the option to view discussion comments in chronological order. Some testers have pointed out situations in which they feel a linear view could be helpful, so we'd like see how you guys make use of it.

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