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Simplifying 4 + -1y2 = 7y + -14 Reorder the terms: 4 + -1y2 = -14 + 7y Solving 4 + -1y2 = -14 + 7y Solving for variable 'y'. Reorder the terms: 4 + 14 + -7y + -1y2 = -14 + 7y + 14 + -7y Combine like terms: 4 + 14 = 18 18 + -7y + -1y2 = -14 + 7y + 14 + -7y Reorder the terms: 18 + -7y + -1y2 = -14 + 14 + 7y + -7y Combine like terms: -14 + 14 = 0 18 + -7y + -1y2 = 0 + 7y + -7y 18 + -7y + -1y2 = 7y + -7y Combine like terms: 7y + -7y = 0 18 + -7y + -1y2 = 0 Factor a trinomial. (2 + -1y)(9 + y) = 0Subproblem 1
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 = 2Subproblem 2
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 = -9Solution
y = {2, -9}
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