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Simplifying 9(y + -5) = 8(y + -9) Reorder the terms: 9(-5 + y) = 8(y + -9) (-5 * 9 + y * 9) = 8(y + -9) (-45 + 9y) = 8(y + -9) Reorder the terms: -45 + 9y = 8(-9 + y) -45 + 9y = (-9 * 8 + y * 8) -45 + 9y = (-72 + 8y) Solving -45 + 9y = -72 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -45 + 9y + -8y = -72 + 8y + -8y Combine like terms: 9y + -8y = 1y -45 + 1y = -72 + 8y + -8y Combine like terms: 8y + -8y = 0 -45 + 1y = -72 + 0 -45 + 1y = -72 Add '45' to each side of the equation. -45 + 45 + 1y = -72 + 45 Combine like terms: -45 + 45 = 0 0 + 1y = -72 + 45 1y = -72 + 45 Combine like terms: -72 + 45 = -27 1y = -27 Divide each side by '1'. y = -27 Simplifying y = -27
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