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Simplifying 0.07y + 0.11(1000 + -1y) = 0.21y 0.07y + (1000 * 0.11 + -1y * 0.11) = 0.21y 0.07y + (110 + -0.11y) = 0.21y Reorder the terms: 110 + 0.07y + -0.11y = 0.21y Combine like terms: 0.07y + -0.11y = -0.04y 110 + -0.04y = 0.21y Solving 110 + -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. 110 + -0.04y + -0.21y = 0.21y + -0.21y Combine like terms: -0.04y + -0.21y = -0.25y 110 + -0.25y = 0.21y + -0.21y Combine like terms: 0.21y + -0.21y = 0.00 110 + -0.25y = 0.00 Add '-110' to each side of the equation. 110 + -110 + -0.25y = 0.00 + -110 Combine like terms: 110 + -110 = 0 0 + -0.25y = 0.00 + -110 -0.25y = 0.00 + -110 Combine like terms: 0.00 + -110 = -110 -0.25y = -110 Divide each side by '-0.25'. y = 440 Simplifying y = 440
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