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. Make sure to show ALL of your work in order to receive full credit.
Since ABCD is an isosceles trapezoid, the lengths of the legs AB and CD must be equal. Therefore, we can set the equations for AB and CD equal to each other:
10y - 16 = 8y - 4
Next, we can solve for y by isolating the variable:
10y - 8y = -4 + 16
2y = 12
y = 12/2
y = 6
Therefore, the value of y is 6.