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Simplifying y2 = 18 + -7y Solving y2 = 18 + -7y Solving for variable 'y'. Reorder the terms: -18 + 7y + y2 = 18 + -7y + -18 + 7y Reorder the terms: -18 + 7y + y2 = 18 + -18 + -7y + 7y Combine like terms: 18 + -18 = 0 -18 + 7y + y2 = 0 + -7y + 7y -18 + 7y + y2 = -7y + 7y Combine like terms: -7y + 7y = 0 -18 + 7y + y2 = 0 Factor a trinomial. (-9 + -1y)(2 + -1y) = 0Subproblem 1
Set the factor '(-9 + -1y)' equal to zero and attempt to solve: Simplifying -9 + -1y = 0 Solving -9 + -1y = 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 + -1y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 0 + 9 -1y = 0 + 9 Combine like terms: 0 + 9 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9Subproblem 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 = {-9, 2}
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