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Simplifying -0.05y + 0.13(100 + -1y) = 0.07y -0.05y + (100 * 0.13 + -1y * 0.13) = 0.07y -0.05y + (13 + -0.13y) = 0.07y Reorder the terms: 13 + -0.05y + -0.13y = 0.07y Combine like terms: -0.05y + -0.13y = -0.18y 13 + -0.18y = 0.07y Solving 13 + -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. 13 + -0.18y + -0.07y = 0.07y + -0.07y Combine like terms: -0.18y + -0.07y = -0.25y 13 + -0.25y = 0.07y + -0.07y Combine like terms: 0.07y + -0.07y = 0.00 13 + -0.25y = 0.00 Add '-13' to each side of the equation. 13 + -13 + -0.25y = 0.00 + -13 Combine like terms: 13 + -13 = 0 0 + -0.25y = 0.00 + -13 -0.25y = 0.00 + -13 Combine like terms: 0.00 + -13 = -13 -0.25y = -13 Divide each side by '-0.25'. y = 52 Simplifying y = 52
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