(y+4)(y-4)=0

Solution for (y+4)(y-4)=0 equation:

Simplifying
(y + 4)(y + -4) = 0

Reorder the terms:
(4 + y)(y + -4) = 0

Reorder the terms:
(4 + y)(-4 + y) = 0

Multiply (4 + y) * (-4 + y)
(4(-4 + y) + y(-4 + y)) = 0
((-4 * 4 + y * 4) + y(-4 + y)) = 0
((-16 + 4y) + y(-4 + y)) = 0
(-16 + 4y + (-4 * y + y * y)) = 0
(-16 + 4y + (-4y + y2)) = 0

Combine like terms: 4y + -4y = 0
(-16 + 0 + y2) = 0
(-16 + y2) = 0

Solving
-16 + y2 = 0

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + y2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + y2 = 0 + 16
y2 = 0 + 16

Combine like terms: 0 + 16 = 16
y2 = 16

Simplifying
y2 = 16

Take the square root of each side:
y = {-4, 4}