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Simplifying 5y + 10(y + -9) + 25(y + 4) = 590 Reorder the terms: 5y + 10(-9 + y) + 25(y + 4) = 590 5y + (-9 * 10 + y * 10) + 25(y + 4) = 590 5y + (-90 + 10y) + 25(y + 4) = 590 Reorder the terms: 5y + -90 + 10y + 25(4 + y) = 590 5y + -90 + 10y + (4 * 25 + y * 25) = 590 5y + -90 + 10y + (100 + 25y) = 590 Reorder the terms: -90 + 100 + 5y + 10y + 25y = 590 Combine like terms: -90 + 100 = 10 10 + 5y + 10y + 25y = 590 Combine like terms: 5y + 10y = 15y 10 + 15y + 25y = 590 Combine like terms: 15y + 25y = 40y 10 + 40y = 590 Solving 10 + 40y = 590 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 40y = 590 + -10 Combine like terms: 10 + -10 = 0 0 + 40y = 590 + -10 40y = 590 + -10 Combine like terms: 590 + -10 = 580 40y = 580 Divide each side by '40'. y = 14.5 Simplifying y = 14.5
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