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Simplifying -0.06y + 0.1(7000 + -1y) = 0.09y -0.06y + (7000 * 0.1 + -1y * 0.1) = 0.09y -0.06y + (700 + -0.1y) = 0.09y Reorder the terms: 700 + -0.06y + -0.1y = 0.09y Combine like terms: -0.06y + -0.1y = -0.16y 700 + -0.16y = 0.09y Solving 700 + -0.16y = 0.09y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.09y' to each side of the equation. 700 + -0.16y + -0.09y = 0.09y + -0.09y Combine like terms: -0.16y + -0.09y = -0.25y 700 + -0.25y = 0.09y + -0.09y Combine like terms: 0.09y + -0.09y = 0.00 700 + -0.25y = 0.00 Add '-700' to each side of the equation. 700 + -700 + -0.25y = 0.00 + -700 Combine like terms: 700 + -700 = 0 0 + -0.25y = 0.00 + -700 -0.25y = 0.00 + -700 Combine like terms: 0.00 + -700 = -700 -0.25y = -700 Divide each side by '-0.25'. y = 2800 Simplifying y = 2800
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