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Simplifying y2 + -5y + -7 = -4y + -1 Reorder the terms: -7 + -5y + y2 = -4y + -1 Reorder the terms: -7 + -5y + y2 = -1 + -4y Solving -7 + -5y + y2 = -1 + -4y Solving for variable 'y'. Reorder the terms: -7 + 1 + -5y + 4y + y2 = -1 + -4y + 1 + 4y Combine like terms: -7 + 1 = -6 -6 + -5y + 4y + y2 = -1 + -4y + 1 + 4y Combine like terms: -5y + 4y = -1y -6 + -1y + y2 = -1 + -4y + 1 + 4y Reorder the terms: -6 + -1y + y2 = -1 + 1 + -4y + 4y Combine like terms: -1 + 1 = 0 -6 + -1y + y2 = 0 + -4y + 4y -6 + -1y + y2 = -4y + 4y Combine like terms: -4y + 4y = 0 -6 + -1y + y2 = 0 Factor a trinomial. (-2 + -1y)(3 + -1y) = 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 '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {-2, 3}
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