y(y+2)-y(y-2)=20-y

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Solution for y(y+2)-y(y-2)=20-y equation: 


Simplifying
y(y + 2) + -1y(y + -2) = 20 + -1y

Reorder the terms:
y(2 + y) + -1y(y + -2) = 20 + -1y
(2 * y + y * y) + -1y(y + -2) = 20 + -1y
(2y + y2) + -1y(y + -2) = 20 + -1y

Reorder the terms:
2y + y2 + -1y(-2 + y) = 20 + -1y
2y + y2 + (-2 * -1y + y * -1y) = 20 + -1y
2y + y2 + (2y + -1y2) = 20 + -1y

Reorder the terms:
2y + 2y + y2 + -1y2 = 20 + -1y

Combine like terms: 2y + 2y = 4y
4y + y2 + -1y2 = 20 + -1y

Combine like terms: y2 + -1y2 = 0
4y + 0 = 20 + -1y
4y = 20 + -1y

Solving
4y = 20 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
4y + y = 20 + -1y + y

Combine like terms: 4y + y = 5y
5y = 20 + -1y + y

Combine like terms: -1y + y = 0
5y = 20 + 0
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4

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