If x = y + 2, find the value of y from the equation y-\large\frac{x-2}{2} = \large\frac{2}{3}

Question

( A ) y = \large\frac{2}{3}
( B ) y = \large\frac{-4}{3}
( C ) y = \large\frac{4}{3}
( D ) y = \large\frac{5}{3}