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Simplifying 9 + -9(11y + -6) = 5y + 6(-6y + -2) Reorder the terms: 9 + -9(-6 + 11y) = 5y + 6(-6y + -2) 9 + (-6 * -9 + 11y * -9) = 5y + 6(-6y + -2) 9 + (54 + -99y) = 5y + 6(-6y + -2) Combine like terms: 9 + 54 = 63 63 + -99y = 5y + 6(-6y + -2) Reorder the terms: 63 + -99y = 5y + 6(-2 + -6y) 63 + -99y = 5y + (-2 * 6 + -6y * 6) 63 + -99y = 5y + (-12 + -36y) Reorder the terms: 63 + -99y = -12 + 5y + -36y Combine like terms: 5y + -36y = -31y 63 + -99y = -12 + -31y Solving 63 + -99y = -12 + -31y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '31y' to each side of the equation. 63 + -99y + 31y = -12 + -31y + 31y Combine like terms: -99y + 31y = -68y 63 + -68y = -12 + -31y + 31y Combine like terms: -31y + 31y = 0 63 + -68y = -12 + 0 63 + -68y = -12 Add '-63' to each side of the equation. 63 + -63 + -68y = -12 + -63 Combine like terms: 63 + -63 = 0 0 + -68y = -12 + -63 -68y = -12 + -63 Combine like terms: -12 + -63 = -75 -68y = -75 Divide each side by '-68'. y = 1.102941176 Simplifying y = 1.102941176
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