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Simplifying 0.20y + -0.8 = 0.10y + 1 + -0.8y Reorder the terms: -0.8 + 0.20y = 0.10y + 1 + -0.8y Reorder the terms: -0.8 + 0.20y = 1 + 0.10y + -0.8y Combine like terms: 0.10y + -0.8y = -0.7y -0.8 + 0.20y = 1 + -0.7y Solving -0.8 + 0.20y = 1 + -0.7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.7y' to each side of the equation. -0.8 + 0.20y + 0.7y = 1 + -0.7y + 0.7y Combine like terms: 0.20y + 0.7y = 0.9y -0.8 + 0.9y = 1 + -0.7y + 0.7y Combine like terms: -0.7y + 0.7y = 0.0 -0.8 + 0.9y = 1 + 0.0 -0.8 + 0.9y = 1 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.9y = 1 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.9y = 1 + 0.8 0.9y = 1 + 0.8 Combine like terms: 1 + 0.8 = 1.8 0.9y = 1.8 Divide each side by '0.9'. y = 2 Simplifying y = 2
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