Parallel lines.....what does that remind me of....parallelogram!
In a parallelogram, the sum of the angles is 360. Therefore, we can say this:
2(71) + 2(51 + y - 6) = 360
142 + 102 + 2y - 12 = 360
232 + 2y = 360
2y = 128
y = 64
Not only do we know the answer, but we also know now that 'x' was a red herring.
:)