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Simplifying 0.02y + 0.08(5000 + -1y) = 0.44y 0.02y + (5000 * 0.08 + -1y * 0.08) = 0.44y 0.02y + (400 + -0.08y) = 0.44y Reorder the terms: 400 + 0.02y + -0.08y = 0.44y Combine like terms: 0.02y + -0.08y = -0.06y 400 + -0.06y = 0.44y Solving 400 + -0.06y = 0.44y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.44y' to each side of the equation. 400 + -0.06y + -0.44y = 0.44y + -0.44y Combine like terms: -0.06y + -0.44y = -0.5y 400 + -0.5y = 0.44y + -0.44y Combine like terms: 0.44y + -0.44y = 0.00 400 + -0.5y = 0.00 Add '-400' to each side of the equation. 400 + -400 + -0.5y = 0.00 + -400 Combine like terms: 400 + -400 = 0 0 + -0.5y = 0.00 + -400 -0.5y = 0.00 + -400 Combine like terms: 0.00 + -400 = -400 -0.5y = -400 Divide each side by '-0.5'. y = 800 Simplifying y = 800
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