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Simplifying 5y + 10(y + 10) + 25(y + 5) = 705 Reorder the terms: 5y + 10(10 + y) + 25(y + 5) = 705 5y + (10 * 10 + y * 10) + 25(y + 5) = 705 5y + (100 + 10y) + 25(y + 5) = 705 Reorder the terms: 5y + 100 + 10y + 25(5 + y) = 705 5y + 100 + 10y + (5 * 25 + y * 25) = 705 5y + 100 + 10y + (125 + 25y) = 705 Reorder the terms: 100 + 125 + 5y + 10y + 25y = 705 Combine like terms: 100 + 125 = 225 225 + 5y + 10y + 25y = 705 Combine like terms: 5y + 10y = 15y 225 + 15y + 25y = 705 Combine like terms: 15y + 25y = 40y 225 + 40y = 705 Solving 225 + 40y = 705 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-225' to each side of the equation. 225 + -225 + 40y = 705 + -225 Combine like terms: 225 + -225 = 0 0 + 40y = 705 + -225 40y = 705 + -225 Combine like terms: 705 + -225 = 480 40y = 480 Divide each side by '40'. y = 12 Simplifying y = 12
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