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Simplifying 5y + 10(y + 14) + 25(y + 13) = 905 Reorder the terms: 5y + 10(14 + y) + 25(y + 13) = 905 5y + (14 * 10 + y * 10) + 25(y + 13) = 905 5y + (140 + 10y) + 25(y + 13) = 905 Reorder the terms: 5y + 140 + 10y + 25(13 + y) = 905 5y + 140 + 10y + (13 * 25 + y * 25) = 905 5y + 140 + 10y + (325 + 25y) = 905 Reorder the terms: 140 + 325 + 5y + 10y + 25y = 905 Combine like terms: 140 + 325 = 465 465 + 5y + 10y + 25y = 905 Combine like terms: 5y + 10y = 15y 465 + 15y + 25y = 905 Combine like terms: 15y + 25y = 40y 465 + 40y = 905 Solving 465 + 40y = 905 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-465' to each side of the equation. 465 + -465 + 40y = 905 + -465 Combine like terms: 465 + -465 = 0 0 + 40y = 905 + -465 40y = 905 + -465 Combine like terms: 905 + -465 = 440 40y = 440 Divide each side by '40'. y = 11 Simplifying y = 11
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