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Simplifying 0.04y + 0.12(3000 + -1y) = 0.42y 0.04y + (3000 * 0.12 + -1y * 0.12) = 0.42y 0.04y + (360 + -0.12y) = 0.42y Reorder the terms: 360 + 0.04y + -0.12y = 0.42y Combine like terms: 0.04y + -0.12y = -0.08y 360 + -0.08y = 0.42y Solving 360 + -0.08y = 0.42y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.42y' to each side of the equation. 360 + -0.08y + -0.42y = 0.42y + -0.42y Combine like terms: -0.08y + -0.42y = -0.5y 360 + -0.5y = 0.42y + -0.42y Combine like terms: 0.42y + -0.42y = 0.00 360 + -0.5y = 0.00 Add '-360' to each side of the equation. 360 + -360 + -0.5y = 0.00 + -360 Combine like terms: 360 + -360 = 0 0 + -0.5y = 0.00 + -360 -0.5y = 0.00 + -360 Combine like terms: 0.00 + -360 = -360 -0.5y = -360 Divide each side by '-0.5'. y = 720 Simplifying y = 720
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