Is there a way that I can deduct part or all the money I borrowed to buy someone out of the house I live in?
I doubt it. You may be able to deduct any points you paid when you got the loan, and you should be able to deduct any interest you’ve paid on the money you borrowed, but the amount of the loan itself (and any cash you chipped in towards the balance) isn’t likely to be deductable, since it isn’t any sort of ‘loss’ (you owe more money, but you own more house).
-lv