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Simplifying 0.08(y + -8) + 0.20y = 0.18y + -0.4 Reorder the terms: 0.08(-8 + y) + 0.20y = 0.18y + -0.4 (-8 * 0.08 + y * 0.08) + 0.20y = 0.18y + -0.4 (-0.64 + 0.08y) + 0.20y = 0.18y + -0.4 Combine like terms: 0.08y + 0.20y = 0.28y -0.64 + 0.28y = 0.18y + -0.4 Reorder the terms: -0.64 + 0.28y = -0.4 + 0.18y Solving -0.64 + 0.28y = -0.4 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.64 + 0.28y + -0.18y = -0.4 + 0.18y + -0.18y Combine like terms: 0.28y + -0.18y = 0.1y -0.64 + 0.1y = -0.4 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.64 + 0.1y = -0.4 + 0.00 -0.64 + 0.1y = -0.4 Add '0.64' to each side of the equation. -0.64 + 0.64 + 0.1y = -0.4 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + 0.1y = -0.4 + 0.64 0.1y = -0.4 + 0.64 Combine like terms: -0.4 + 0.64 = 0.24 0.1y = 0.24 Divide each side by '0.1'. y = 2.4 Simplifying y = 2.4
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