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Simplifying 0.04y + 0.12(100 + -1y) = 0.42 0.04y + (100 * 0.12 + -1y * 0.12) = 0.42 0.04y + (12 + -0.12y) = 0.42 Reorder the terms: 12 + 0.04y + -0.12y = 0.42 Combine like terms: 0.04y + -0.12y = -0.08y 12 + -0.08y = 0.42 Solving 12 + -0.08y = 0.42 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -0.08y = 0.42 + -12 Combine like terms: 12 + -12 = 0 0 + -0.08y = 0.42 + -12 -0.08y = 0.42 + -12 Combine like terms: 0.42 + -12 = -11.58 -0.08y = -11.58 Divide each side by '-0.08'. y = 144.75 Simplifying y = 144.75
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