Had a quick search but can't find what I need, so I'll make a new thread instead.

I've got a quick problem here that I can't get my head around, and it's the only simultaneous equation out of 10 that I can't solve, I keep getting answers that satisfy one or the other!

(1)

(2)

(solving from 1)

(subtract 2y from both sides)

(divide by 3 to find x)

(substituting into into 2)

(expanded brackets)

(multiply both sides by 3 to remove denominator)

(subtract 32 from both sides, )

Which leaves me with which of course then does not satisfy the equation very well... I've gone over my working and isolated the problem to this point, I hope it's not something glaring, but what have I done wrong?