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Simplifying 0.04y + 0.15(200 + -1y) = 0.39y 0.04y + (200 * 0.15 + -1y * 0.15) = 0.39y 0.04y + (30 + -0.15y) = 0.39y Reorder the terms: 30 + 0.04y + -0.15y = 0.39y Combine like terms: 0.04y + -0.15y = -0.11y 30 + -0.11y = 0.39y Solving 30 + -0.11y = 0.39y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.39y' to each side of the equation. 30 + -0.11y + -0.39y = 0.39y + -0.39y Combine like terms: -0.11y + -0.39y = -0.5y 30 + -0.5y = 0.39y + -0.39y Combine like terms: 0.39y + -0.39y = 0.00 30 + -0.5y = 0.00 Add '-30' to each side of the equation. 30 + -30 + -0.5y = 0.00 + -30 Combine like terms: 30 + -30 = 0 0 + -0.5y = 0.00 + -30 -0.5y = 0.00 + -30 Combine like terms: 0.00 + -30 = -30 -0.5y = -30 Divide each side by '-0.5'. y = 60 Simplifying y = 60
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