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Simplifying 0.1y + 0.9 = 0.2 + -0.6y Reorder the terms: 0.9 + 0.1y = 0.2 + -0.6y Solving 0.9 + 0.1y = 0.2 + -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. 0.9 + 0.1y + 0.6y = 0.2 + -0.6y + 0.6y Combine like terms: 0.1y + 0.6y = 0.7y 0.9 + 0.7y = 0.2 + -0.6y + 0.6y Combine like terms: -0.6y + 0.6y = 0.0 0.9 + 0.7y = 0.2 + 0.0 0.9 + 0.7y = 0.2 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.7y = 0.2 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.7y = 0.2 + -0.9 0.7y = 0.2 + -0.9 Combine like terms: 0.2 + -0.9 = -0.7 0.7y = -0.7 Divide each side by '0.7'. y = -1 Simplifying y = -1
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