y^2+8y=20

Solution for y^2+8y=20 equation:

Simplifying
y2 + 8y = 20

Reorder the terms:
8y + y2 = 20

Solving
8y + y2 = 20

Solving for variable 'y'.

Reorder the terms:
-20 + 8y + y2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 8y + y2 = 0

Factor a trinomial.
(-10 + -1y)(2 + -1y) = 0

Subproblem 1
Set the factor '(-10 + -1y)' equal to zero and attempt to solve:

Simplifying
-10 + -1y = 0

Solving
-10 + -1y = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1y = 0 + 10
-1y = 0 + 10

Combine like terms: 0 + 10 = 10
-1y = 10

Divide each side by '-1'.
y = -10

Simplifying
y = -10
Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-10, 2}