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Simplifying 0.2y + 0.7 = 0.1 + -0.4y Reorder the terms: 0.7 + 0.2y = 0.1 + -0.4y Solving 0.7 + 0.2y = 0.1 + -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. 0.7 + 0.2y + 0.4y = 0.1 + -0.4y + 0.4y Combine like terms: 0.2y + 0.4y = 0.6y 0.7 + 0.6y = 0.1 + -0.4y + 0.4y Combine like terms: -0.4y + 0.4y = 0.0 0.7 + 0.6y = 0.1 + 0.0 0.7 + 0.6y = 0.1 Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.6y = 0.1 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.6y = 0.1 + -0.7 0.6y = 0.1 + -0.7 Combine like terms: 0.1 + -0.7 = -0.6 0.6y = -0.6 Divide each side by '0.6'. y = -1 Simplifying y = -1
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