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Simplifying -0.08y + 0.12(5000 + -1y) = 0.05y -0.08y + (5000 * 0.12 + -1y * 0.12) = 0.05y -0.08y + (600 + -0.12y) = 0.05y Reorder the terms: 600 + -0.08y + -0.12y = 0.05y Combine like terms: -0.08y + -0.12y = -0.2y 600 + -0.2y = 0.05y Solving 600 + -0.2y = 0.05y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.05y' to each side of the equation. 600 + -0.2y + -0.05y = 0.05y + -0.05y Combine like terms: -0.2y + -0.05y = -0.25y 600 + -0.25y = 0.05y + -0.05y Combine like terms: 0.05y + -0.05y = 0.00 600 + -0.25y = 0.00 Add '-600' to each side of the equation. 600 + -600 + -0.25y = 0.00 + -600 Combine like terms: 600 + -600 = 0 0 + -0.25y = 0.00 + -600 -0.25y = 0.00 + -600 Combine like terms: 0.00 + -600 = -600 -0.25y = -600 Divide each side by '-0.25'. y = 2400 Simplifying y = 2400
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