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Simplifying y2 + 5y + 5y + 25 + -2y2 + -1y + -39 = 0 Reorder the terms: 25 + -39 + 5y + 5y + -1y + y2 + -2y2 = 0 Combine like terms: 25 + -39 = -14 -14 + 5y + 5y + -1y + y2 + -2y2 = 0 Combine like terms: 5y + 5y = 10y -14 + 10y + -1y + y2 + -2y2 = 0 Combine like terms: 10y + -1y = 9y -14 + 9y + y2 + -2y2 = 0 Combine like terms: y2 + -2y2 = -1y2 -14 + 9y + -1y2 = 0 Solving -14 + 9y + -1y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + y)(2 + -1y) = 0Subproblem 1
Set the factor '(-7 + y)' equal to zero and attempt to solve: Simplifying -7 + y = 0 Solving -7 + y = 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 + y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y = 0 + 7 y = 0 + 7 Combine like terms: 0 + 7 = 7 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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