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Simplifying 15y + 20(5 + y) = 415 15y + (5 * 20 + y * 20) = 415 15y + (100 + 20y) = 415 Reorder the terms: 100 + 15y + 20y = 415 Combine like terms: 15y + 20y = 35y 100 + 35y = 415 Solving 100 + 35y = 415 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 35y = 415 + -100 Combine like terms: 100 + -100 = 0 0 + 35y = 415 + -100 35y = 415 + -100 Combine like terms: 415 + -100 = 315 35y = 315 Divide each side by '35'. y = 9 Simplifying y = 9
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