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Simplifying 9(y + -8) = 8(3 + y) Reorder the terms: 9(-8 + y) = 8(3 + y) (-8 * 9 + y * 9) = 8(3 + y) (-72 + 9y) = 8(3 + y) -72 + 9y = (3 * 8 + y * 8) -72 + 9y = (24 + 8y) Solving -72 + 9y = 24 + 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. -72 + 9y + -8y = 24 + 8y + -8y Combine like terms: 9y + -8y = 1y -72 + 1y = 24 + 8y + -8y Combine like terms: 8y + -8y = 0 -72 + 1y = 24 + 0 -72 + 1y = 24 Add '72' to each side of the equation. -72 + 72 + 1y = 24 + 72 Combine like terms: -72 + 72 = 0 0 + 1y = 24 + 72 1y = 24 + 72 Combine like terms: 24 + 72 = 96 1y = 96 Divide each side by '1'. y = 96 Simplifying y = 96
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