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Simplifying 2y + 5y = 8y(y + 2) Combine like terms: 2y + 5y = 7y 7y = 8y(y + 2) Reorder the terms: 7y = 8y(2 + y) 7y = (2 * 8y + y * 8y) 7y = (16y + 8y2) Solving 7y = 16y + 8y2 Solving for variable 'y'. Combine like terms: 7y + -16y = -9y -9y + -8y2 = 16y + 8y2 + -16y + -8y2 Reorder the terms: -9y + -8y2 = 16y + -16y + 8y2 + -8y2 Combine like terms: 16y + -16y = 0 -9y + -8y2 = 0 + 8y2 + -8y2 -9y + -8y2 = 8y2 + -8y2 Combine like terms: 8y2 + -8y2 = 0 -9y + -8y2 = 0 Factor out the Greatest Common Factor (GCF), '-1y'. -1y(9 + 8y) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(9 + 8y)' equal to zero and attempt to solve: Simplifying 9 + 8y = 0 Solving 9 + 8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8y = 0 + -9 8y = 0 + -9 Combine like terms: 0 + -9 = -9 8y = -9 Divide each side by '8'. y = -1.125 Simplifying y = -1.125Solution
y = {0, -1.125}
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