To solve for y, we need to isolate y on one side of the equation.

First, multiply both sides of the equation by (y-39) to get rid of the fraction:

6768 = 564(y-39)

Next, distribute 564 on the right side of the equation:

6768 = 564y - 22116

Now, let's isolate y by moving the constant term to the other side of the equation:

564y = 6768 + 22116
564y = 28884

Finally, divide by 564 to solve for y:

y = 28884 / 564
y ≈ 51

Therefore, the value of y is approximately 51.