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Simplifying -2y = 3y2 + -8 Reorder the terms: -2y = -8 + 3y2 Solving -2y = -8 + 3y2 Solving for variable 'y'. Reorder the terms: 8 + -2y + -3y2 = -8 + 3y2 + 8 + -3y2 Reorder the terms: 8 + -2y + -3y2 = -8 + 8 + 3y2 + -3y2 Combine like terms: -8 + 8 = 0 8 + -2y + -3y2 = 0 + 3y2 + -3y2 8 + -2y + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 8 + -2y + -3y2 = 0 Factor a trinomial. (4 + -3y)(2 + y) = 0Subproblem 1
Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 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 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 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 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {1.333333333, -2}
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