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Simplifying -0.05y + 0.08(600 + -1y) = 0.37y -0.05y + (600 * 0.08 + -1y * 0.08) = 0.37y -0.05y + (48 + -0.08y) = 0.37y Reorder the terms: 48 + -0.05y + -0.08y = 0.37y Combine like terms: -0.05y + -0.08y = -0.13y 48 + -0.13y = 0.37y Solving 48 + -0.13y = 0.37y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.37y' to each side of the equation. 48 + -0.13y + -0.37y = 0.37y + -0.37y Combine like terms: -0.13y + -0.37y = -0.5y 48 + -0.5y = 0.37y + -0.37y Combine like terms: 0.37y + -0.37y = 0.00 48 + -0.5y = 0.00 Add '-48' to each side of the equation. 48 + -48 + -0.5y = 0.00 + -48 Combine like terms: 48 + -48 = 0 0 + -0.5y = 0.00 + -48 -0.5y = 0.00 + -48 Combine like terms: 0.00 + -48 = -48 -0.5y = -48 Divide each side by '-0.5'. y = 96 Simplifying y = 96
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