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Simplifying 22 + -1(5 + 9y(y + 4)) = -5(y + -6) + -1(7(y + -1) + -20y + 20) Reorder the terms: 22 + -1(5 + 9y(4 + y)) = -5(y + -6) + -1(7(y + -1) + -20y + 20) 22 + -1(5 + (4 * 9y + y * 9y)) = -5(y + -6) + -1(7(y + -1) + -20y + 20) 22 + -1(5 + (36y + 9y2)) = -5(y + -6) + -1(7(y + -1) + -20y + 20) 22 + (5 * -1 + 36y * -1 + 9y2 * -1) = -5(y + -6) + -1(7(y + -1) + -20y + 20) 22 + (-5 + -36y + -9y2) = -5(y + -6) + -1(7(y + -1) + -20y + 20) Combine like terms: 22 + -5 = 17 17 + -36y + -9y2 = -5(y + -6) + -1(7(y + -1) + -20y + 20) Reorder the terms: 17 + -36y + -9y2 = -5(-6 + y) + -1(7(y + -1) + -20y + 20) 17 + -36y + -9y2 = (-6 * -5 + y * -5) + -1(7(y + -1) + -20y + 20) 17 + -36y + -9y2 = (30 + -5y) + -1(7(y + -1) + -20y + 20) Reorder the terms: 17 + -36y + -9y2 = 30 + -5y + -1(7(-1 + y) + -20y + 20) 17 + -36y + -9y2 = 30 + -5y + -1((-1 * 7 + y * 7) + -20y + 20) 17 + -36y + -9y2 = 30 + -5y + -1((-7 + 7y) + -20y + 20) Reorder the terms: 17 + -36y + -9y2 = 30 + -5y + -1(-7 + 20 + 7y + -20y) Combine like terms: -7 + 20 = 13 17 + -36y + -9y2 = 30 + -5y + -1(13 + 7y + -20y) Combine like terms: 7y + -20y = -13y 17 + -36y + -9y2 = 30 + -5y + -1(13 + -13y) 17 + -36y + -9y2 = 30 + -5y + (13 * -1 + -13y * -1) 17 + -36y + -9y2 = 30 + -5y + (-13 + 13y) Reorder the terms: 17 + -36y + -9y2 = 30 + -13 + -5y + 13y Combine like terms: 30 + -13 = 17 17 + -36y + -9y2 = 17 + -5y + 13y Combine like terms: -5y + 13y = 8y 17 + -36y + -9y2 = 17 + 8y Add '-17' to each side of the equation. 17 + -36y + -17 + -9y2 = 17 + -17 + 8y Reorder the terms: 17 + -17 + -36y + -9y2 = 17 + -17 + 8y Combine like terms: 17 + -17 = 0 0 + -36y + -9y2 = 17 + -17 + 8y -36y + -9y2 = 17 + -17 + 8y Combine like terms: 17 + -17 = 0 -36y + -9y2 = 0 + 8y -36y + -9y2 = 8y Solving -36y + -9y2 = 8y Solving for variable 'y'. Reorder the terms: -36y + -8y + -9y2 = 8y + -8y Combine like terms: -36y + -8y = -44y -44y + -9y2 = 8y + -8y Combine like terms: 8y + -8y = 0 -44y + -9y2 = 0 Factor out the Greatest Common Factor (GCF), '-1y'. -1y(44 + 9y) = 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 '(44 + 9y)' equal to zero and attempt to solve: Simplifying 44 + 9y = 0 Solving 44 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 9y = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 9y = 0 + -44 9y = 0 + -44 Combine like terms: 0 + -44 = -44 9y = -44 Divide each side by '9'. y = -4.888888889 Simplifying y = -4.888888889Solution
y = {0, -4.888888889}
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