Expanding the left side:
(6y-4)(y-4) = 6y^2 - 24y - 4y + 16 = 6y^2 - 28y + 16
Expanding the right side:
7(y^2 - 4y - 12) = 7y^2 - 28y - 84
Now, the equation becomes:
6y^2 - 28y + 16 = 7y^2 - 28y - 84
Rearranging terms:
6y^2 - 7y^2 - 28y - 28y + 16 + 84 = 0-y^2 - 56y + 100 = 0
This is a quadratic equation that can be solved using the quadratic formula.
Expanding the left side:
(6y-4)(y-4) = 6y^2 - 24y - 4y + 16 = 6y^2 - 28y + 16
Expanding the right side:
7(y^2 - 4y - 12) = 7y^2 - 28y - 84
Now, the equation becomes:
6y^2 - 28y + 16 = 7y^2 - 28y - 84
Rearranging terms:
6y^2 - 7y^2 - 28y - 28y + 16 + 84 = 0
-y^2 - 56y + 100 = 0
This is a quadratic equation that can be solved using the quadratic formula.