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Simplifying 13y = -1y2 + -40 Reorder the terms: 13y = -40 + -1y2 Solving 13y = -40 + -1y2 Solving for variable 'y'. Reorder the terms: 40 + 13y + y2 = -40 + -1y2 + 40 + y2 Reorder the terms: 40 + 13y + y2 = -40 + 40 + -1y2 + y2 Combine like terms: -40 + 40 = 0 40 + 13y + y2 = 0 + -1y2 + y2 40 + 13y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 40 + 13y + y2 = 0 Factor a trinomial. (8 + y)(5 + y) = 0Subproblem 1
Set the factor '(8 + y)' equal to zero and attempt to solve: Simplifying 8 + y = 0 Solving 8 + y = 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 + y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y = 0 + -8 y = 0 + -8 Combine like terms: 0 + -8 = -8 y = -8 Simplifying y = -8Subproblem 2
Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 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 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Solution
y = {-8, -5}
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