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Simplifying (16 + -1y) * y = 63 Reorder the terms for easier multiplication: y(16 + -1y) = 63 (16 * y + -1y * y) = 63 (16y + -1y2) = 63 Solving 16y + -1y2 = 63 Solving for variable 'y'. Reorder the terms: -63 + 16y + -1y2 = 63 + -63 Combine like terms: 63 + -63 = 0 -63 + 16y + -1y2 = 0 Factor a trinomial. (-9 + y)(7 + -1y) = 0Subproblem 1
Set the factor '(-9 + y)' equal to zero and attempt to solve: Simplifying -9 + y = 0 Solving -9 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + y = 0 + 9 y = 0 + 9 Combine like terms: 0 + 9 = 9 y = 9 Simplifying y = 9Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Solution
y = {9, 7}
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