(y-2)(y+2)=96

Solution for (y-2)(y+2)=96 equation:

Simplifying
(y + -2)(y + 2) = 96

Reorder the terms:
(-2 + y)(y + 2) = 96

Reorder the terms:
(-2 + y)(2 + y) = 96

Multiply (-2 + y) * (2 + y)
(-2(2 + y) + y(2 + y)) = 96
((2 * -2 + y * -2) + y(2 + y)) = 96
((-4 + -2y) + y(2 + y)) = 96
(-4 + -2y + (2 * y + y * y)) = 96
(-4 + -2y + (2y + y2)) = 96

Combine like terms: -2y + 2y = 0
(-4 + 0 + y2) = 96
(-4 + y2) = 96

Solving
-4 + y2 = 96

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + y2 = 96 + 4

Combine like terms: -4 + 4 = 0
0 + y2 = 96 + 4
y2 = 96 + 4

Combine like terms: 96 + 4 = 100
y2 = 100

Simplifying
y2 = 100

Take the square root of each side:
y = {-10, 10}