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Simplifying 0.6y + 0.8 = 0.1 + -1y Reorder the terms: 0.8 + 0.6y = 0.1 + -1y Solving 0.8 + 0.6y = 0.1 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 0.8 + 0.6y + y = 0.1 + -1y + y Combine like terms: 0.6y + y = 1.6y 0.8 + 1.6y = 0.1 + -1y + y Combine like terms: -1y + y = 0 0.8 + 1.6y = 0.1 + 0 0.8 + 1.6y = 0.1 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 1.6y = 0.1 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 1.6y = 0.1 + -0.8 1.6y = 0.1 + -0.8 Combine like terms: 0.1 + -0.8 = -0.7 1.6y = -0.7 Divide each side by '1.6'. y = -0.4375 Simplifying y = -0.4375
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