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Simplifying 5(y + 1) + 3(y + 4) = 25 Reorder the terms: 5(1 + y) + 3(y + 4) = 25 (1 * 5 + y * 5) + 3(y + 4) = 25 (5 + 5y) + 3(y + 4) = 25 Reorder the terms: 5 + 5y + 3(4 + y) = 25 5 + 5y + (4 * 3 + y * 3) = 25 5 + 5y + (12 + 3y) = 25 Reorder the terms: 5 + 12 + 5y + 3y = 25 Combine like terms: 5 + 12 = 17 17 + 5y + 3y = 25 Combine like terms: 5y + 3y = 8y 17 + 8y = 25 Solving 17 + 8y = 25 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 8y = 25 + -17 Combine like terms: 17 + -17 = 0 0 + 8y = 25 + -17 8y = 25 + -17 Combine like terms: 25 + -17 = 8 8y = 8 Divide each side by '8'. y = 1 Simplifying y = 1
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