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Simplifying y2 + -1y + -18 = -2y + -6 Reorder the terms: -18 + -1y + y2 = -2y + -6 Reorder the terms: -18 + -1y + y2 = -6 + -2y Solving -18 + -1y + y2 = -6 + -2y Solving for variable 'y'. Reorder the terms: -18 + 6 + -1y + 2y + y2 = -6 + -2y + 6 + 2y Combine like terms: -18 + 6 = -12 -12 + -1y + 2y + y2 = -6 + -2y + 6 + 2y Combine like terms: -1y + 2y = 1y -12 + 1y + y2 = -6 + -2y + 6 + 2y Reorder the terms: -12 + 1y + y2 = -6 + 6 + -2y + 2y Combine like terms: -6 + 6 = 0 -12 + 1y + y2 = 0 + -2y + 2y -12 + 1y + y2 = -2y + 2y Combine like terms: -2y + 2y = 0 -12 + 1y + y2 = 0 Factor a trinomial. (-4 + -1y)(3 + -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 '(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 = {-4, 3}
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