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Simplifying 0.5y + 2 = 0.8y + -0.2y Reorder the terms: 2 + 0.5y = 0.8y + -0.2y Combine like terms: 0.8y + -0.2y = 0.6y 2 + 0.5y = 0.6y Solving 2 + 0.5y = 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. 2 + 0.5y + -0.6y = 0.6y + -0.6y Combine like terms: 0.5y + -0.6y = -0.1y 2 + -0.1y = 0.6y + -0.6y Combine like terms: 0.6y + -0.6y = 0.0 2 + -0.1y = 0.0 Add '-2' to each side of the equation. 2 + -2 + -0.1y = 0.0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.1y = 0.0 + -2 -0.1y = 0.0 + -2 Combine like terms: 0.0 + -2 = -2 -0.1y = -2 Divide each side by '-0.1'. y = 20 Simplifying y = 20
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