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Simplifying 5y + 10(y + 7) + 25(y + 7) = 485 Reorder the terms: 5y + 10(7 + y) + 25(y + 7) = 485 5y + (7 * 10 + y * 10) + 25(y + 7) = 485 5y + (70 + 10y) + 25(y + 7) = 485 Reorder the terms: 5y + 70 + 10y + 25(7 + y) = 485 5y + 70 + 10y + (7 * 25 + y * 25) = 485 5y + 70 + 10y + (175 + 25y) = 485 Reorder the terms: 70 + 175 + 5y + 10y + 25y = 485 Combine like terms: 70 + 175 = 245 245 + 5y + 10y + 25y = 485 Combine like terms: 5y + 10y = 15y 245 + 15y + 25y = 485 Combine like terms: 15y + 25y = 40y 245 + 40y = 485 Solving 245 + 40y = 485 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-245' to each side of the equation. 245 + -245 + 40y = 485 + -245 Combine like terms: 245 + -245 = 0 0 + 40y = 485 + -245 40y = 485 + -245 Combine like terms: 485 + -245 = 240 40y = 240 Divide each side by '40'. y = 6 Simplifying y = 6
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