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Simplifying 0.18(y + -2) + 0.10y = 0.08y + -0.4 Reorder the terms: 0.18(-2 + y) + 0.10y = 0.08y + -0.4 (-2 * 0.18 + y * 0.18) + 0.10y = 0.08y + -0.4 (-0.36 + 0.18y) + 0.10y = 0.08y + -0.4 Combine like terms: 0.18y + 0.10y = 0.28y -0.36 + 0.28y = 0.08y + -0.4 Reorder the terms: -0.36 + 0.28y = -0.4 + 0.08y Solving -0.36 + 0.28y = -0.4 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.36 + 0.28y + -0.08y = -0.4 + 0.08y + -0.08y Combine like terms: 0.28y + -0.08y = 0.2y -0.36 + 0.2y = -0.4 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.36 + 0.2y = -0.4 + 0.00 -0.36 + 0.2y = -0.4 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.2y = -0.4 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.2y = -0.4 + 0.36 0.2y = -0.4 + 0.36 Combine like terms: -0.4 + 0.36 = -0.04 0.2y = -0.04 Divide each side by '0.2'. y = -0.2 Simplifying y = -0.2
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