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Simplifying 0.20y + -0.8 = 0.1y + 1 + -0.5y Reorder the terms: -0.8 + 0.20y = 0.1y + 1 + -0.5y Reorder the terms: -0.8 + 0.20y = 1 + 0.1y + -0.5y Combine like terms: 0.1y + -0.5y = -0.4y -0.8 + 0.20y = 1 + -0.4y Solving -0.8 + 0.20y = 1 + -0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.4y' to each side of the equation. -0.8 + 0.20y + 0.4y = 1 + -0.4y + 0.4y Combine like terms: 0.20y + 0.4y = 0.6y -0.8 + 0.6y = 1 + -0.4y + 0.4y Combine like terms: -0.4y + 0.4y = 0.0 -0.8 + 0.6y = 1 + 0.0 -0.8 + 0.6y = 1 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.6y = 1 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.6y = 1 + 0.8 0.6y = 1 + 0.8 Combine like terms: 1 + 0.8 = 1.8 0.6y = 1.8 Divide each side by '0.6'. y = 3 Simplifying y = 3
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