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Simplifying 9y + 6(4y + -3) = 5(y + -7) Reorder the terms: 9y + 6(-3 + 4y) = 5(y + -7) 9y + (-3 * 6 + 4y * 6) = 5(y + -7) 9y + (-18 + 24y) = 5(y + -7) Reorder the terms: -18 + 9y + 24y = 5(y + -7) Combine like terms: 9y + 24y = 33y -18 + 33y = 5(y + -7) Reorder the terms: -18 + 33y = 5(-7 + y) -18 + 33y = (-7 * 5 + y * 5) -18 + 33y = (-35 + 5y) Solving -18 + 33y = -35 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -18 + 33y + -5y = -35 + 5y + -5y Combine like terms: 33y + -5y = 28y -18 + 28y = -35 + 5y + -5y Combine like terms: 5y + -5y = 0 -18 + 28y = -35 + 0 -18 + 28y = -35 Add '18' to each side of the equation. -18 + 18 + 28y = -35 + 18 Combine like terms: -18 + 18 = 0 0 + 28y = -35 + 18 28y = -35 + 18 Combine like terms: -35 + 18 = -17 28y = -17 Divide each side by '28'. y = -0.6071428571 Simplifying y = -0.6071428571
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