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

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

Simplifying
y(y + 2) + -2(y + 2) = 0

Reorder the terms:
y(2 + y) + -2(y + 2) = 0
(2 * y + y * y) + -2(y + 2) = 0
(2y + y2) + -2(y + 2) = 0

Reorder the terms:
2y + y2 + -2(2 + y) = 0
2y + y2 + (2 * -2 + y * -2) = 0
2y + y2 + (-4 + -2y) = 0

Reorder the terms:
-4 + 2y + -2y + y2 = 0

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

Solving
-4 + y2 = 0

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 = 0 + 4

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

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

Simplifying
y2 = 4

Take the square root of each side:
y = {-2, 2}