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Simplifying 0.18(y + -6) + 0.10y = 0.08y + -0.09(10) Reorder the terms: 0.18(-6 + y) + 0.10y = 0.08y + -0.09(10) (-6 * 0.18 + y * 0.18) + 0.10y = 0.08y + -0.09(10) (-1.08 + 0.18y) + 0.10y = 0.08y + -0.09(10) Combine like terms: 0.18y + 0.10y = 0.28y -1.08 + 0.28y = 0.08y + -0.09(10) Multiply -0.09 * 10 -1.08 + 0.28y = 0.08y + -0.9 Reorder the terms: -1.08 + 0.28y = -0.9 + 0.08y Solving -1.08 + 0.28y = -0.9 + 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. -1.08 + 0.28y + -0.08y = -0.9 + 0.08y + -0.08y Combine like terms: 0.28y + -0.08y = 0.2y -1.08 + 0.2y = -0.9 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -1.08 + 0.2y = -0.9 + 0.00 -1.08 + 0.2y = -0.9 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.2y = -0.9 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.2y = -0.9 + 1.08 0.2y = -0.9 + 1.08 Combine like terms: -0.9 + 1.08 = 0.18 0.2y = 0.18 Divide each side by '0.2'. y = 0.9 Simplifying y = 0.9
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