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Simplifying y2 + -1y + -6 = -3y + 2 Reorder the terms: -6 + -1y + y2 = -3y + 2 Reorder the terms: -6 + -1y + y2 = 2 + -3y Solving -6 + -1y + y2 = 2 + -3y Solving for variable 'y'. Reorder the terms: -6 + -2 + -1y + 3y + y2 = 2 + -3y + -2 + 3y Combine like terms: -6 + -2 = -8 -8 + -1y + 3y + y2 = 2 + -3y + -2 + 3y Combine like terms: -1y + 3y = 2y -8 + 2y + y2 = 2 + -3y + -2 + 3y Reorder the terms: -8 + 2y + y2 = 2 + -2 + -3y + 3y Combine like terms: 2 + -2 = 0 -8 + 2y + y2 = 0 + -3y + 3y -8 + 2y + y2 = -3y + 3y Combine like terms: -3y + 3y = 0 -8 + 2y + y2 = 0 Factor a trinomial. (-4 + -1y)(2 + -1y) = 0Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4Subproblem 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 = {-4, 2}
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