6y-1=-17+y^2

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Solution for 6y-1=-17+y^2 equation: 


Simplifying
6y + -1 = -17 + y2

Reorder the terms:
-1 + 6y = -17 + y2

Solving
-1 + 6y = -17 + y2

Solving for variable 'y'.

Reorder the terms:
-1 + 17 + 6y + -1y2 = -17 + y2 + 17 + -1y2

Combine like terms: -1 + 17 = 16
16 + 6y + -1y2 = -17 + y2 + 17 + -1y2

Reorder the terms:
16 + 6y + -1y2 = -17 + 17 + y2 + -1y2

Combine like terms: -17 + 17 = 0
16 + 6y + -1y2 = 0 + y2 + -1y2
16 + 6y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
16 + 6y + -1y2 = 0

Factor a trinomial.
(8 + -1y)(2 + y) = 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 '(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 = {8, -2}

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