-16=6y-y^2

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Solution for -16=6y-y^2 equation:


Simplifying
-16 = 6y + -1y2

Solving
-16 = 6y + -1y2

Solving for variable 'y'.

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

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

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

Factor a trinomial.
(-2 + -1y)(8 + -1y) = 0

Subproblem 1

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

Subproblem 2

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

Solution

y = {-2, 8}

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