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Simplifying 9(y + -8) = 2(4y + 3) + -78 Reorder the terms: 9(-8 + y) = 2(4y + 3) + -78 (-8 * 9 + y * 9) = 2(4y + 3) + -78 (-72 + 9y) = 2(4y + 3) + -78 Reorder the terms: -72 + 9y = 2(3 + 4y) + -78 -72 + 9y = (3 * 2 + 4y * 2) + -78 -72 + 9y = (6 + 8y) + -78 Reorder the terms: -72 + 9y = 6 + -78 + 8y Combine like terms: 6 + -78 = -72 -72 + 9y = -72 + 8y Add '72' to each side of the equation. -72 + 72 + 9y = -72 + 72 + 8y Combine like terms: -72 + 72 = 0 0 + 9y = -72 + 72 + 8y 9y = -72 + 72 + 8y Combine like terms: -72 + 72 = 0 9y = 0 + 8y 9y = 8y Solving 9y = 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. 9y + -8y = 8y + -8y Combine like terms: 9y + -8y = 1y 1y = 8y + -8y Combine like terms: 8y + -8y = 0 1y = 0 Divide each side by '1'. y = 0 Simplifying y = 0
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