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Simplifying -0.02y + 0.14(8000 + -1y) = 0.09y -0.02y + (8000 * 0.14 + -1y * 0.14) = 0.09y -0.02y + (1120 + -0.14y) = 0.09y Reorder the terms: 1120 + -0.02y + -0.14y = 0.09y Combine like terms: -0.02y + -0.14y = -0.16y 1120 + -0.16y = 0.09y Solving 1120 + -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. 1120 + -0.16y + -0.09y = 0.09y + -0.09y Combine like terms: -0.16y + -0.09y = -0.25y 1120 + -0.25y = 0.09y + -0.09y Combine like terms: 0.09y + -0.09y = 0.00 1120 + -0.25y = 0.00 Add '-1120' to each side of the equation. 1120 + -1120 + -0.25y = 0.00 + -1120 Combine like terms: 1120 + -1120 = 0 0 + -0.25y = 0.00 + -1120 -0.25y = 0.00 + -1120 Combine like terms: 0.00 + -1120 = -1120 -0.25y = -1120 Divide each side by '-0.25'. y = 4480 Simplifying y = 4480
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