ABCD is an isosceles trapezoid with legs AB and CD and base BC, If the length of AB= 10y-16, The length of BC= 4y-6 and the length of CD= 8y-4, Find the value of y.

Since ABCD is an isosceles trapezoid, the lengths of the legs are equal. Therefore, AB = CD. We can set up an equation to solve for y:

10y - 16 = 8y - 4

Simplifying the equation, we find:

2y = 12

Dividing both sides by 2, we find:

y = 6

Therefore, the value of y is 6.