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Simplifying 0.20y + -0.4 = 0.10y + 2 + -0.7y Reorder the terms: -0.4 + 0.20y = 0.10y + 2 + -0.7y Reorder the terms: -0.4 + 0.20y = 2 + 0.10y + -0.7y Combine like terms: 0.10y + -0.7y = -0.6y -0.4 + 0.20y = 2 + -0.6y Solving -0.4 + 0.20y = 2 + -0.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.6y' to each side of the equation. -0.4 + 0.20y + 0.6y = 2 + -0.6y + 0.6y Combine like terms: 0.20y + 0.6y = 0.8y -0.4 + 0.8y = 2 + -0.6y + 0.6y Combine like terms: -0.6y + 0.6y = 0.0 -0.4 + 0.8y = 2 + 0.0 -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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