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Simplifying 0.10(y + -3) + 0.18y = 0.08y + -2.1 Reorder the terms: 0.10(-3 + y) + 0.18y = 0.08y + -2.1 (-3 * 0.10 + y * 0.10) + 0.18y = 0.08y + -2.1 (-0.3 + 0.10y) + 0.18y = 0.08y + -2.1 Combine like terms: 0.10y + 0.18y = 0.28y -0.3 + 0.28y = 0.08y + -2.1 Reorder the terms: -0.3 + 0.28y = -2.1 + 0.08y Solving -0.3 + 0.28y = -2.1 + 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. -0.3 + 0.28y + -0.08y = -2.1 + 0.08y + -0.08y Combine like terms: 0.28y + -0.08y = 0.2y -0.3 + 0.2y = -2.1 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.3 + 0.2y = -2.1 + 0.00 -0.3 + 0.2y = -2.1 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.2y = -2.1 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.2y = -2.1 + 0.3 0.2y = -2.1 + 0.3 Combine like terms: -2.1 + 0.3 = -1.8 0.2y = -1.8 Divide each side by '0.2'. y = -9 Simplifying y = -9
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