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Simplifying 0.08y + 0.12(200 + -1y) = 0.46y 0.08y + (200 * 0.12 + -1y * 0.12) = 0.46y 0.08y + (24 + -0.12y) = 0.46y Reorder the terms: 24 + 0.08y + -0.12y = 0.46y Combine like terms: 0.08y + -0.12y = -0.04y 24 + -0.04y = 0.46y Solving 24 + -0.04y = 0.46y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.46y' to each side of the equation. 24 + -0.04y + -0.46y = 0.46y + -0.46y Combine like terms: -0.04y + -0.46y = -0.5y 24 + -0.5y = 0.46y + -0.46y Combine like terms: 0.46y + -0.46y = 0.00 24 + -0.5y = 0.00 Add '-24' to each side of the equation. 24 + -24 + -0.5y = 0.00 + -24 Combine like terms: 24 + -24 = 0 0 + -0.5y = 0.00 + -24 -0.5y = 0.00 + -24 Combine like terms: 0.00 + -24 = -24 -0.5y = -24 Divide each side by '-0.5'. y = 48 Simplifying y = 48
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