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Simplifying 2y + 7y + 2(5 + 4y) * y = y Reorder the terms for easier multiplication: 2y + 7y + 2y(5 + 4y) = y 2y + 7y + (5 * 2y + 4y * 2y) = y 2y + 7y + (10y + 8y2) = y Combine like terms: 2y + 7y = 9y 9y + 10y + 8y2 = y Combine like terms: 9y + 10y = 19y 19y + 8y2 = y Solving 19y + 8y2 = y Solving for variable 'y'. Reorder the terms: 19y + -1y + 8y2 = y + -1y Combine like terms: 19y + -1y = 18y 18y + 8y2 = y + -1y Combine like terms: y + -1y = 0 18y + 8y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(9 + 4y) = 0 Ignore the factor 2.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 + 4y)' equal to zero and attempt to solve: Simplifying 9 + 4y = 0 Solving 9 + 4y = 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 + 4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 0 + -9 4y = 0 + -9 Combine like terms: 0 + -9 = -9 4y = -9 Divide each side by '4'. y = -2.25 Simplifying y = -2.25Solution
y = {0, -2.25}
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