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Simplifying 0.4y + 0.2 + 0.2y = 0.1(y + -8) Reorder the terms: 0.2 + 0.4y + 0.2y = 0.1(y + -8) Combine like terms: 0.4y + 0.2y = 0.6y 0.2 + 0.6y = 0.1(y + -8) Reorder the terms: 0.2 + 0.6y = 0.1(-8 + y) 0.2 + 0.6y = (-8 * 0.1 + y * 0.1) 0.2 + 0.6y = (-0.8 + 0.1y) Solving 0.2 + 0.6y = -0.8 + 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. 0.2 + 0.6y + -0.1y = -0.8 + 0.1y + -0.1y Combine like terms: 0.6y + -0.1y = 0.5y 0.2 + 0.5y = -0.8 + 0.1y + -0.1y Combine like terms: 0.1y + -0.1y = 0.0 0.2 + 0.5y = -0.8 + 0.0 0.2 + 0.5y = -0.8 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.5y = -0.8 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.5y = -0.8 + -0.2 0.5y = -0.8 + -0.2 Combine like terms: -0.8 + -0.2 = -1 0.5y = -1 Divide each side by '0.5'. y = -2 Simplifying y = -2
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