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Simplifying 9(y + 1) = 5y + 21 Reorder the terms: 9(1 + y) = 5y + 21 (1 * 9 + y * 9) = 5y + 21 (9 + 9y) = 5y + 21 Reorder the terms: 9 + 9y = 21 + 5y Solving 9 + 9y = 21 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 9 + 9y + -5y = 21 + 5y + -5y Combine like terms: 9y + -5y = 4y 9 + 4y = 21 + 5y + -5y Combine like terms: 5y + -5y = 0 9 + 4y = 21 + 0 9 + 4y = 21 Add '-9' to each side of the equation. 9 + -9 + 4y = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 21 + -9 4y = 21 + -9 Combine like terms: 21 + -9 = 12 4y = 12 Divide each side by '4'. y = 3 Simplifying y = 3
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