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Simplifying 5(y + 2) + -3(y + -5) = 29 Reorder the terms: 5(2 + y) + -3(y + -5) = 29 (2 * 5 + y * 5) + -3(y + -5) = 29 (10 + 5y) + -3(y + -5) = 29 Reorder the terms: 10 + 5y + -3(-5 + y) = 29 10 + 5y + (-5 * -3 + y * -3) = 29 10 + 5y + (15 + -3y) = 29 Reorder the terms: 10 + 15 + 5y + -3y = 29 Combine like terms: 10 + 15 = 25 25 + 5y + -3y = 29 Combine like terms: 5y + -3y = 2y 25 + 2y = 29 Solving 25 + 2y = 29 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 2y = 29 + -25 Combine like terms: 25 + -25 = 0 0 + 2y = 29 + -25 2y = 29 + -25 Combine like terms: 29 + -25 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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