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Simplifying 0.18(y + -5) + 0.10y = 0.08y + -1.2 Reorder the terms: 0.18(-5 + y) + 0.10y = 0.08y + -1.2 (-5 * 0.18 + y * 0.18) + 0.10y = 0.08y + -1.2 (-0.9 + 0.18y) + 0.10y = 0.08y + -1.2 Combine like terms: 0.18y + 0.10y = 0.28y -0.9 + 0.28y = 0.08y + -1.2 Reorder the terms: -0.9 + 0.28y = -1.2 + 0.08y Solving -0.9 + 0.28y = -1.2 + 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. -0.9 + 0.28y + -0.08y = -1.2 + 0.08y + -0.08y Combine like terms: 0.28y + -0.08y = 0.2y -0.9 + 0.2y = -1.2 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.9 + 0.2y = -1.2 + 0.00 -0.9 + 0.2y = -1.2 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.2y = -1.2 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.2y = -1.2 + 0.9 0.2y = -1.2 + 0.9 Combine like terms: -1.2 + 0.9 = -0.3 0.2y = -0.3 Divide each side by '0.2'. y = -1.5 Simplifying y = -1.5
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