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Simplifying -6y = 5y2 + -8 Reorder the terms: -6y = -8 + 5y2 Solving -6y = -8 + 5y2 Solving for variable 'y'. Reorder the terms: 8 + -6y + -5y2 = -8 + 5y2 + 8 + -5y2 Reorder the terms: 8 + -6y + -5y2 = -8 + 8 + 5y2 + -5y2 Combine like terms: -8 + 8 = 0 8 + -6y + -5y2 = 0 + 5y2 + -5y2 8 + -6y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 8 + -6y + -5y2 = 0 Factor a trinomial. (4 + -5y)(2 + y) = 0Subproblem 1
Set the factor '(4 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 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 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8Subproblem 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 = {0.8, -2}
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