First we write equation for perimeter of rectangle. Why? because we have been given that it is 128 units and maybe we can calculate something from it.
P = 2a + 2b where
a = 2(3y + 1 ) and b = 2(2y +3)
P = 6y + 2 + 4y + 6 = 10y + 8 = 128
now we can solve for y
10y = 120
y = 12
Now we just express value of y in formula for finding lenght of VW and we got length
Answer is 37