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Simplifying 3(y + 9) = 8y + 12 Reorder the terms: 3(9 + y) = 8y + 12 (9 * 3 + y * 3) = 8y + 12 (27 + 3y) = 8y + 12 Reorder the terms: 27 + 3y = 12 + 8y Solving 27 + 3y = 12 + 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. 27 + 3y + -8y = 12 + 8y + -8y Combine like terms: 3y + -8y = -5y 27 + -5y = 12 + 8y + -8y Combine like terms: 8y + -8y = 0 27 + -5y = 12 + 0 27 + -5y = 12 Add '-27' to each side of the equation. 27 + -27 + -5y = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -5y = 12 + -27 -5y = 12 + -27 Combine like terms: 12 + -27 = -15 -5y = -15 Divide each side by '-5'. y = 3 Simplifying y = 3
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