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Simplifying -0.04y + 0.12(500 + -1y) = 0.09y -0.04y + (500 * 0.12 + -1y * 0.12) = 0.09y -0.04y + (60 + -0.12y) = 0.09y Reorder the terms: 60 + -0.04y + -0.12y = 0.09y Combine like terms: -0.04y + -0.12y = -0.16y 60 + -0.16y = 0.09y Solving 60 + -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. 60 + -0.16y + -0.09y = 0.09y + -0.09y Combine like terms: -0.16y + -0.09y = -0.25y 60 + -0.25y = 0.09y + -0.09y Combine like terms: 0.09y + -0.09y = 0.00 60 + -0.25y = 0.00 Add '-60' to each side of the equation. 60 + -60 + -0.25y = 0.00 + -60 Combine like terms: 60 + -60 = 0 0 + -0.25y = 0.00 + -60 -0.25y = 0.00 + -60 Combine like terms: 0.00 + -60 = -60 -0.25y = -60 Divide each side by '-0.25'. y = 240 Simplifying y = 240
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