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Simplifying 0.23y + -0.4 = 0.13y + 1 + -0.6y Reorder the terms: -0.4 + 0.23y = 0.13y + 1 + -0.6y Reorder the terms: -0.4 + 0.23y = 1 + 0.13y + -0.6y Combine like terms: 0.13y + -0.6y = -0.47y -0.4 + 0.23y = 1 + -0.47y Solving -0.4 + 0.23y = 1 + -0.47y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.47y' to each side of the equation. -0.4 + 0.23y + 0.47y = 1 + -0.47y + 0.47y Combine like terms: 0.23y + 0.47y = 0.7y -0.4 + 0.7y = 1 + -0.47y + 0.47y Combine like terms: -0.47y + 0.47y = 0.00 -0.4 + 0.7y = 1 + 0.00 -0.4 + 0.7y = 1 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.7y = 1 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.7y = 1 + 0.4 0.7y = 1 + 0.4 Combine like terms: 1 + 0.4 = 1.4 0.7y = 1.4 Divide each side by '0.7'. y = 2 Simplifying y = 2
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