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Simplifying y(20 + -1y) = 96 (20 * y + -1y * y) = 96 (20y + -1y2) = 96 Solving 20y + -1y2 = 96 Solving for variable 'y'. Reorder the terms: -96 + 20y + -1y2 = 96 + -96 Combine like terms: 96 + -96 = 0 -96 + 20y + -1y2 = 0 Factor a trinomial. (-12 + y)(8 + -1y) = 0Subproblem 1
Set the factor '(-12 + y)' equal to zero and attempt to solve: Simplifying -12 + y = 0 Solving -12 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + y = 0 + 12 y = 0 + 12 Combine like terms: 0 + 12 = 12 y = 12 Simplifying y = 12Subproblem 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 = 8Solution
y = {12, 8}
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