y^2+5y=5(y+20)

Solution for y^2+5y=5(y+20) equation:

Simplifying
y2 + 5y = 5(y + 20)

Reorder the terms:
5y + y2 = 5(y + 20)

Reorder the terms:
5y + y2 = 5(20 + y)
5y + y2 = (20 * 5 + y * 5)
5y + y2 = (100 + 5y)

Add '-5y' to each side of the equation.
5y + -5y + y2 = 100 + 5y + -5y

Combine like terms: 5y + -5y = 0
0 + y2 = 100 + 5y + -5y
y2 = 100 + 5y + -5y

Combine like terms: 5y + -5y = 0
y2 = 100 + 0
y2 = 100

Solving
y2 = 100

Solving for variable 'y'.

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

Simplifying
y2 = 100

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