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Simplifying 5(y + 1) + 3(y + 3) = 30 Reorder the terms: 5(1 + y) + 3(y + 3) = 30 (1 * 5 + y * 5) + 3(y + 3) = 30 (5 + 5y) + 3(y + 3) = 30 Reorder the terms: 5 + 5y + 3(3 + y) = 30 5 + 5y + (3 * 3 + y * 3) = 30 5 + 5y + (9 + 3y) = 30 Reorder the terms: 5 + 9 + 5y + 3y = 30 Combine like terms: 5 + 9 = 14 14 + 5y + 3y = 30 Combine like terms: 5y + 3y = 8y 14 + 8y = 30 Solving 14 + 8y = 30 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8y = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 8y = 30 + -14 8y = 30 + -14 Combine like terms: 30 + -14 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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