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Simplifying 0.07y + 0.08(200 + -1y) = 0.24y 0.07y + (200 * 0.08 + -1y * 0.08) = 0.24y 0.07y + (16 + -0.08y) = 0.24y Reorder the terms: 16 + 0.07y + -0.08y = 0.24y Combine like terms: 0.07y + -0.08y = -0.01y 16 + -0.01y = 0.24y Solving 16 + -0.01y = 0.24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.24y' to each side of the equation. 16 + -0.01y + -0.24y = 0.24y + -0.24y Combine like terms: -0.01y + -0.24y = -0.25y 16 + -0.25y = 0.24y + -0.24y Combine like terms: 0.24y + -0.24y = 0.00 16 + -0.25y = 0.00 Add '-16' to each side of the equation. 16 + -16 + -0.25y = 0.00 + -16 Combine like terms: 16 + -16 = 0 0 + -0.25y = 0.00 + -16 -0.25y = 0.00 + -16 Combine like terms: 0.00 + -16 = -16 -0.25y = -16 Divide each side by '-0.25'. y = 64 Simplifying y = 64
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