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Simplifying -0.05y + 0.13(600 + -1y) = 0.07y -0.05y + (600 * 0.13 + -1y * 0.13) = 0.07y -0.05y + (78 + -0.13y) = 0.07y Reorder the terms: 78 + -0.05y + -0.13y = 0.07y Combine like terms: -0.05y + -0.13y = -0.18y 78 + -0.18y = 0.07y Solving 78 + -0.18y = 0.07y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.07y' to each side of the equation. 78 + -0.18y + -0.07y = 0.07y + -0.07y Combine like terms: -0.18y + -0.07y = -0.25y 78 + -0.25y = 0.07y + -0.07y Combine like terms: 0.07y + -0.07y = 0.00 78 + -0.25y = 0.00 Add '-78' to each side of the equation. 78 + -78 + -0.25y = 0.00 + -78 Combine like terms: 78 + -78 = 0 0 + -0.25y = 0.00 + -78 -0.25y = 0.00 + -78 Combine like terms: 0.00 + -78 = -78 -0.25y = -78 Divide each side by '-0.25'. y = 312 Simplifying y = 312
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