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Simplifying 0.23y + -0.4 = 0.13y + 2 + -0.5y Reorder the terms: -0.4 + 0.23y = 0.13y + 2 + -0.5y Reorder the terms: -0.4 + 0.23y = 2 + 0.13y + -0.5y Combine like terms: 0.13y + -0.5y = -0.37y -0.4 + 0.23y = 2 + -0.37y Solving -0.4 + 0.23y = 2 + -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. -0.4 + 0.23y + 0.37y = 2 + -0.37y + 0.37y Combine like terms: 0.23y + 0.37y = 0.6y -0.4 + 0.6y = 2 + -0.37y + 0.37y Combine like terms: -0.37y + 0.37y = 0.00 -0.4 + 0.6y = 2 + 0.00 -0.4 + 0.6y = 2 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.6y = 2 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.6y = 2 + 0.4 0.6y = 2 + 0.4 Combine like terms: 2 + 0.4 = 2.4 0.6y = 2.4 Divide each side by '0.6'. y = 4 Simplifying y = 4
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