y = 28 degrees.
The angle that is 124 degrees and angle xw form a linear pair, so they must equal 180 degrees. x and w are equal, so we can form the equation 180 = 124 + 2x to find their measure. Subtract 124 from both sides to get 56 = 2x, then divide both sides by 2 to get 28. Now that we know the measure of x, we can add it to 124 to find z (which we know will be equal to y). 124 + 28 = 152, and 180-152 = 28. Thus, z = 28, and y = 28.
