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Simplifying (35 + -1y) * y = 264 Reorder the terms for easier multiplication: y(35 + -1y) = 264 (35 * y + -1y * y) = 264 (35y + -1y2) = 264 Solving 35y + -1y2 = 264 Solving for variable 'y'. Reorder the terms: -264 + 35y + -1y2 = 264 + -264 Combine like terms: 264 + -264 = 0 -264 + 35y + -1y2 = 0 Factor a trinomial. (-24 + y)(11 + -1y) = 0Subproblem 1
Set the factor '(-24 + y)' equal to zero and attempt to solve: Simplifying -24 + y = 0 Solving -24 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + y = 0 + 24 y = 0 + 24 Combine like terms: 0 + 24 = 24 y = 24 Simplifying y = 24Subproblem 2
Set the factor '(11 + -1y)' equal to zero and attempt to solve: Simplifying 11 + -1y = 0 Solving 11 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1y = 0 + -11 -1y = 0 + -11 Combine like terms: 0 + -11 = -11 -1y = -11 Divide each side by '-1'. y = 11 Simplifying y = 11Solution
y = {24, 11}
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