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Simplifying 5y = 3y2 + -8 Reorder the terms: 5y = -8 + 3y2 Solving 5y = -8 + 3y2 Solving for variable 'y'. Reorder the terms: 8 + 5y + -3y2 = -8 + 3y2 + 8 + -3y2 Reorder the terms: 8 + 5y + -3y2 = -8 + 8 + 3y2 + -3y2 Combine like terms: -8 + 8 = 0 8 + 5y + -3y2 = 0 + 3y2 + -3y2 8 + 5y + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 8 + 5y + -3y2 = 0 Factor a trinomial. (8 + -3y)(1 + y) = 0Subproblem 1
Set the factor '(8 + -3y)' equal to zero and attempt to solve: Simplifying 8 + -3y = 0 Solving 8 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = 0 + -8 -3y = 0 + -8 Combine like terms: 0 + -8 = -8 -3y = -8 Divide each side by '-3'. y = 2.666666667 Simplifying y = 2.666666667Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {2.666666667, -1}
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