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Simplifying 0.23y + -0.4 = 0.13y + 2 + -0.7y Reorder the terms: -0.4 + 0.23y = 0.13y + 2 + -0.7y Reorder the terms: -0.4 + 0.23y = 2 + 0.13y + -0.7y Combine like terms: 0.13y + -0.7y = -0.57y -0.4 + 0.23y = 2 + -0.57y Solving -0.4 + 0.23y = 2 + -0.57y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.57y' to each side of the equation. -0.4 + 0.23y + 0.57y = 2 + -0.57y + 0.57y Combine like terms: 0.23y + 0.57y = 0.8y -0.4 + 0.8y = 2 + -0.57y + 0.57y Combine like terms: -0.57y + 0.57y = 0.00 -0.4 + 0.8y = 2 + 0.00 -0.4 + 0.8y = 2 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.8y = 2 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.8y = 2 + 0.4 0.8y = 2 + 0.4 Combine like terms: 2 + 0.4 = 2.4 0.8y = 2.4 Divide each side by '0.8'. y = 3 Simplifying y = 3
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