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Simplifying 0.04y + 0.1(600 + -1y) = 0.44y 0.04y + (600 * 0.1 + -1y * 0.1) = 0.44y 0.04y + (60 + -0.1y) = 0.44y Reorder the terms: 60 + 0.04y + -0.1y = 0.44y Combine like terms: 0.04y + -0.1y = -0.06y 60 + -0.06y = 0.44y Solving 60 + -0.06y = 0.44y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.44y' to each side of the equation. 60 + -0.06y + -0.44y = 0.44y + -0.44y Combine like terms: -0.06y + -0.44y = -0.5y 60 + -0.5y = 0.44y + -0.44y Combine like terms: 0.44y + -0.44y = 0.00 60 + -0.5y = 0.00 Add '-60' to each side of the equation. 60 + -60 + -0.5y = 0.00 + -60 Combine like terms: 60 + -60 = 0 0 + -0.5y = 0.00 + -60 -0.5y = 0.00 + -60 Combine like terms: 0.00 + -60 = -60 -0.5y = -60 Divide each side by '-0.5'. y = 120 Simplifying y = 120
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