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Simplifying 0.23y + -0.2 = 0.13y + 1 + -0.5y Reorder the terms: -0.2 + 0.23y = 0.13y + 1 + -0.5y Reorder the terms: -0.2 + 0.23y = 1 + 0.13y + -0.5y Combine like terms: 0.13y + -0.5y = -0.37y -0.2 + 0.23y = 1 + -0.37y Solving -0.2 + 0.23y = 1 + -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. -0.2 + 0.23y + 0.37y = 1 + -0.37y + 0.37y Combine like terms: 0.23y + 0.37y = 0.6y -0.2 + 0.6y = 1 + -0.37y + 0.37y Combine like terms: -0.37y + 0.37y = 0.00 -0.2 + 0.6y = 1 + 0.00 -0.2 + 0.6y = 1 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.6y = 1 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.6y = 1 + 0.2 0.6y = 1 + 0.2 Combine like terms: 1 + 0.2 = 1.2 0.6y = 1.2 Divide each side by '0.6'. y = 2 Simplifying y = 2
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