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Simplifying -0.02y + 0.1(300 + -1y) = 0.13y -0.02y + (300 * 0.1 + -1y * 0.1) = 0.13y -0.02y + (30 + -0.1y) = 0.13y Reorder the terms: 30 + -0.02y + -0.1y = 0.13y Combine like terms: -0.02y + -0.1y = -0.12y 30 + -0.12y = 0.13y Solving 30 + -0.12y = 0.13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.13y' to each side of the equation. 30 + -0.12y + -0.13y = 0.13y + -0.13y Combine like terms: -0.12y + -0.13y = -0.25y 30 + -0.25y = 0.13y + -0.13y Combine like terms: 0.13y + -0.13y = 0.00 30 + -0.25y = 0.00 Add '-30' to each side of the equation. 30 + -30 + -0.25y = 0.00 + -30 Combine like terms: 30 + -30 = 0 0 + -0.25y = 0.00 + -30 -0.25y = 0.00 + -30 Combine like terms: 0.00 + -30 = -30 -0.25y = -30 Divide each side by '-0.25'. y = 120 Simplifying y = 120
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