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Simplifying -0.05y + 0.13(6000 + -1y) = 0.07y -0.05y + (6000 * 0.13 + -1y * 0.13) = 0.07y -0.05y + (780 + -0.13y) = 0.07y Reorder the terms: 780 + -0.05y + -0.13y = 0.07y Combine like terms: -0.05y + -0.13y = -0.18y 780 + -0.18y = 0.07y Solving 780 + -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. 780 + -0.18y + -0.07y = 0.07y + -0.07y Combine like terms: -0.18y + -0.07y = -0.25y 780 + -0.25y = 0.07y + -0.07y Combine like terms: 0.07y + -0.07y = 0.00 780 + -0.25y = 0.00 Add '-780' to each side of the equation. 780 + -780 + -0.25y = 0.00 + -780 Combine like terms: 780 + -780 = 0 0 + -0.25y = 0.00 + -780 -0.25y = 0.00 + -780 Combine like terms: 0.00 + -780 = -780 -0.25y = -780 Divide each side by '-0.25'. y = 3120 Simplifying y = 3120
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