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Simplifying (13 + -1y) * y = 40 Reorder the terms for easier multiplication: y(13 + -1y) = 40 (13 * y + -1y * y) = 40 (13y + -1y2) = 40 Solving 13y + -1y2 = 40 Solving for variable 'y'. Reorder the terms: -40 + 13y + -1y2 = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 13y + -1y2 = 0 Factor a trinomial. (-8 + y)(5 + -1y) = 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 + -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 = {8, 5}
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