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Simplifying y2 = 14 + -5y Solving y2 = 14 + -5y Solving for variable 'y'. Reorder the terms: -14 + 5y + y2 = 14 + -5y + -14 + 5y Reorder the terms: -14 + 5y + y2 = 14 + -14 + -5y + 5y Combine like terms: 14 + -14 = 0 -14 + 5y + y2 = 0 + -5y + 5y -14 + 5y + y2 = -5y + 5y Combine like terms: -5y + 5y = 0 -14 + 5y + y2 = 0 Factor a trinomial. (-7 + -1y)(2 + -1y) = 0Subproblem 1
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 = -7Subproblem 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 = {-7, 2}
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