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Simplifying y2 + -2y + -8 = 7 Reorder the terms: -8 + -2y + y2 = 7 Solving -8 + -2y + y2 = 7 Solving for variable 'y'. Reorder the terms: -8 + -7 + -2y + y2 = 7 + -7 Combine like terms: -8 + -7 = -15 -15 + -2y + y2 = 7 + -7 Combine like terms: 7 + -7 = 0 -15 + -2y + y2 = 0 Factor a trinomial. (-3 + -1y)(5 + -1y) = 0Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve: Simplifying -3 + -1y = 0 Solving -3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 0 + 3 -1y = 0 + 3 Combine like terms: 0 + 3 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {-3, 5}
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