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Simplifying 8(y + 9) = 3y + 47 Reorder the terms: 8(9 + y) = 3y + 47 (9 * 8 + y * 8) = 3y + 47 (72 + 8y) = 3y + 47 Reorder the terms: 72 + 8y = 47 + 3y Solving 72 + 8y = 47 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 72 + 8y + -3y = 47 + 3y + -3y Combine like terms: 8y + -3y = 5y 72 + 5y = 47 + 3y + -3y Combine like terms: 3y + -3y = 0 72 + 5y = 47 + 0 72 + 5y = 47 Add '-72' to each side of the equation. 72 + -72 + 5y = 47 + -72 Combine like terms: 72 + -72 = 0 0 + 5y = 47 + -72 5y = 47 + -72 Combine like terms: 47 + -72 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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