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Simplifying 0.4y + 0.6 = 0.1 + -0.1y Reorder the terms: 0.6 + 0.4y = 0.1 + -0.1y Solving 0.6 + 0.4y = 0.1 + -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. 0.6 + 0.4y + 0.1y = 0.1 + -0.1y + 0.1y Combine like terms: 0.4y + 0.1y = 0.5y 0.6 + 0.5y = 0.1 + -0.1y + 0.1y Combine like terms: -0.1y + 0.1y = 0.0 0.6 + 0.5y = 0.1 + 0.0 0.6 + 0.5y = 0.1 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.5y = 0.1 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.5y = 0.1 + -0.6 0.5y = 0.1 + -0.6 Combine like terms: 0.1 + -0.6 = -0.5 0.5y = -0.5 Divide each side by '0.5'. y = -1 Simplifying y = -1
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