8y+2=y^2-18

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Solution for 8y+2=y^2-18 equation: 


Simplifying
8y + 2 = y2 + -18

Reorder the terms:
2 + 8y = y2 + -18

Reorder the terms:
2 + 8y = -18 + y2

Solving
2 + 8y = -18 + y2

Solving for variable 'y'.

Reorder the terms:
2 + 18 + 8y + -1y2 = -18 + y2 + 18 + -1y2

Combine like terms: 2 + 18 = 20
20 + 8y + -1y2 = -18 + y2 + 18 + -1y2

Reorder the terms:
20 + 8y + -1y2 = -18 + 18 + y2 + -1y2

Combine like terms: -18 + 18 = 0
20 + 8y + -1y2 = 0 + y2 + -1y2
20 + 8y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
20 + 8y + -1y2 = 0

Factor a trinomial.
(10 + -1y)(2 + y) = 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 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 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 + y = 0 + -2

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

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

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

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