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Simplifying 0.06y + 0.1(10000 + -1y) = 0.21y 0.06y + (10000 * 0.1 + -1y * 0.1) = 0.21y 0.06y + (1000 + -0.1y) = 0.21y Reorder the terms: 1000 + 0.06y + -0.1y = 0.21y Combine like terms: 0.06y + -0.1y = -0.04y 1000 + -0.04y = 0.21y Solving 1000 + -0.04y = 0.21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.21y' to each side of the equation. 1000 + -0.04y + -0.21y = 0.21y + -0.21y Combine like terms: -0.04y + -0.21y = -0.25y 1000 + -0.25y = 0.21y + -0.21y Combine like terms: 0.21y + -0.21y = 0.00 1000 + -0.25y = 0.00 Add '-1000' to each side of the equation. 1000 + -1000 + -0.25y = 0.00 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -0.25y = 0.00 + -1000 -0.25y = 0.00 + -1000 Combine like terms: 0.00 + -1000 = -1000 -0.25y = -1000 Divide each side by '-0.25'. y = 4000 Simplifying y = 4000
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