y^2+9y+2=8y+58

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Solution for y^2+9y+2=8y+58 equation: 


Simplifying
y2 + 9y + 2 = 8y + 58

Reorder the terms:
2 + 9y + y2 = 8y + 58

Reorder the terms:
2 + 9y + y2 = 58 + 8y

Solving
2 + 9y + y2 = 58 + 8y

Solving for variable 'y'.

Reorder the terms:
2 + -58 + 9y + -8y + y2 = 58 + 8y + -58 + -8y

Combine like terms: 2 + -58 = -56
-56 + 9y + -8y + y2 = 58 + 8y + -58 + -8y

Combine like terms: 9y + -8y = 1y
-56 + 1y + y2 = 58 + 8y + -58 + -8y

Reorder the terms:
-56 + 1y + y2 = 58 + -58 + 8y + -8y

Combine like terms: 58 + -58 = 0
-56 + 1y + y2 = 0 + 8y + -8y
-56 + 1y + y2 = 8y + -8y

Combine like terms: 8y + -8y = 0
-56 + 1y + y2 = 0

Factor a trinomial.
(-8 + -1y)(7 + -1y) = 0


Subproblem 1
Set the factor '(-8 + -1y)' equal to zero and attempt to solve:

Simplifying
-8 + -1y = 0

Solving
-8 + -1y = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1y = 0 + 8

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

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

Divide each side by '-1'.
y = -8

Simplifying
y = -8

Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {-8, 7}

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