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Simplifying 6y = 16 + -1y2 Solving 6y = 16 + -1y2 Solving for variable 'y'. Reorder the terms: -16 + 6y + y2 = 16 + -1y2 + -16 + y2 Reorder the terms: -16 + 6y + y2 = 16 + -16 + -1y2 + y2 Combine like terms: 16 + -16 = 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. (-8 + -1y)(2 + -1y) = 0Subproblem 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 = -8Subproblem 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 = 2Solution
y = {-8, 2}
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