(4y-3)2=72

Solution for (4y-3)2=72 equation:

Simplifying
(4y + -3) * 2 = 72

Reorder the terms:
(-3 + 4y) * 2 = 72

Reorder the terms for easier multiplication:
2(-3 + 4y) = 72
(-3 * 2 + 4y * 2) = 72
(-6 + 8y) = 72

Solving
-6 + 8y = 72

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 8y = 72 + 6

Combine like terms: -6 + 6 = 0
0 + 8y = 72 + 6
8y = 72 + 6

Combine like terms: 72 + 6 = 78
8y = 78

Divide each side by '8'.
y = 9.75

Simplifying
y = 9.75