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