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Simplifying 0.03y + 0.13(600 + -1y) = 0.4y 0.03y + (600 * 0.13 + -1y * 0.13) = 0.4y 0.03y + (78 + -0.13y) = 0.4y Reorder the terms: 78 + 0.03y + -0.13y = 0.4y Combine like terms: 0.03y + -0.13y = -0.1y 78 + -0.1y = 0.4y Solving 78 + -0.1y = 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. 78 + -0.1y + -0.4y = 0.4y + -0.4y Combine like terms: -0.1y + -0.4y = -0.5y 78 + -0.5y = 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 78 + -0.5y = 0.0 Add '-78' to each side of the equation. 78 + -78 + -0.5y = 0.0 + -78 Combine like terms: 78 + -78 = 0 0 + -0.5y = 0.0 + -78 -0.5y = 0.0 + -78 Combine like terms: 0.0 + -78 = -78 -0.5y = -78 Divide each side by '-0.5'. y = 156 Simplifying y = 156
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