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Simplifying 0.5y + 0.8 = 0.2 + -0.1y Reorder the terms: 0.8 + 0.5y = 0.2 + -0.1y Solving 0.8 + 0.5y = 0.2 + -0.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.1y' to each side of the equation. 0.8 + 0.5y + 0.1y = 0.2 + -0.1y + 0.1y Combine like terms: 0.5y + 0.1y = 0.6y 0.8 + 0.6y = 0.2 + -0.1y + 0.1y Combine like terms: -0.1y + 0.1y = 0.0 0.8 + 0.6y = 0.2 + 0.0 0.8 + 0.6y = 0.2 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.6y = 0.2 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.6y = 0.2 + -0.8 0.6y = 0.2 + -0.8 Combine like terms: 0.2 + -0.8 = -0.6 0.6y = -0.6 Divide each side by '0.6'. y = -1 Simplifying y = -1
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