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Simplifying 9(y + 8) = 4y + 42 Reorder the terms: 9(8 + y) = 4y + 42 (8 * 9 + y * 9) = 4y + 42 (72 + 9y) = 4y + 42 Reorder the terms: 72 + 9y = 42 + 4y Solving 72 + 9y = 42 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 72 + 9y + -4y = 42 + 4y + -4y Combine like terms: 9y + -4y = 5y 72 + 5y = 42 + 4y + -4y Combine like terms: 4y + -4y = 0 72 + 5y = 42 + 0 72 + 5y = 42 Add '-72' to each side of the equation. 72 + -72 + 5y = 42 + -72 Combine like terms: 72 + -72 = 0 0 + 5y = 42 + -72 5y = 42 + -72 Combine like terms: 42 + -72 = -30 5y = -30 Divide each side by '5'. y = -6 Simplifying y = -6
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