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Simplifying 0.20(y + -8) + 0.08y = 0.10y + -2.5 Reorder the terms: 0.20(-8 + y) + 0.08y = 0.10y + -2.5 (-8 * 0.20 + y * 0.20) + 0.08y = 0.10y + -2.5 (-1.6 + 0.20y) + 0.08y = 0.10y + -2.5 Combine like terms: 0.20y + 0.08y = 0.28y -1.6 + 0.28y = 0.10y + -2.5 Reorder the terms: -1.6 + 0.28y = -2.5 + 0.10y Solving -1.6 + 0.28y = -2.5 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -1.6 + 0.28y + -0.10y = -2.5 + 0.10y + -0.10y Combine like terms: 0.28y + -0.10y = 0.18y -1.6 + 0.18y = -2.5 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -1.6 + 0.18y = -2.5 + 0.00 -1.6 + 0.18y = -2.5 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.18y = -2.5 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.18y = -2.5 + 1.6 0.18y = -2.5 + 1.6 Combine like terms: -2.5 + 1.6 = -0.9 0.18y = -0.9 Divide each side by '0.18'. y = -5 Simplifying y = -5
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