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Simplifying 0.05y + 0.10(y + 4000) = 1600 Reorder the terms: 0.05y + 0.10(4000 + y) = 1600 0.05y + (4000 * 0.10 + y * 0.10) = 1600 0.05y + (400 + 0.10y) = 1600 Reorder the terms: 400 + 0.05y + 0.10y = 1600 Combine like terms: 0.05y + 0.10y = 0.15y 400 + 0.15y = 1600 Solving 400 + 0.15y = 1600 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + 0.15y = 1600 + -400 Combine like terms: 400 + -400 = 0 0 + 0.15y = 1600 + -400 0.15y = 1600 + -400 Combine like terms: 1600 + -400 = 1200 0.15y = 1200 Divide each side by '0.15'. y = 8000 Simplifying y = 8000
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