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Simplifying (20 + -1y)(y) = 36 Reorder the terms for easier multiplication: y(20 + -1y) = 36 (20 * y + -1y * y) = 36 (20y + -1y2) = 36 Solving 20y + -1y2 = 36 Solving for variable 'y'. Reorder the terms: -36 + 20y + -1y2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 20y + -1y2 = 0 Factor a trinomial. (-18 + y)(2 + -1y) = 0Subproblem 1
Set the factor '(-18 + y)' equal to zero and attempt to solve: Simplifying -18 + y = 0 Solving -18 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + y = 0 + 18 y = 0 + 18 Combine like terms: 0 + 18 = 18 y = 18 Simplifying y = 18Subproblem 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 = {18, 2}
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