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Simplifying 0.18(y + -3) + 0.10y = 0.04y + -2.7 Reorder the terms: 0.18(-3 + y) + 0.10y = 0.04y + -2.7 (-3 * 0.18 + y * 0.18) + 0.10y = 0.04y + -2.7 (-0.54 + 0.18y) + 0.10y = 0.04y + -2.7 Combine like terms: 0.18y + 0.10y = 0.28y -0.54 + 0.28y = 0.04y + -2.7 Reorder the terms: -0.54 + 0.28y = -2.7 + 0.04y Solving -0.54 + 0.28y = -2.7 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.54 + 0.28y + -0.04y = -2.7 + 0.04y + -0.04y Combine like terms: 0.28y + -0.04y = 0.24y -0.54 + 0.24y = -2.7 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.54 + 0.24y = -2.7 + 0.00 -0.54 + 0.24y = -2.7 Add '0.54' to each side of the equation. -0.54 + 0.54 + 0.24y = -2.7 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + 0.24y = -2.7 + 0.54 0.24y = -2.7 + 0.54 Combine like terms: -2.7 + 0.54 = -2.16 0.24y = -2.16 Divide each side by '0.24'. y = -9 Simplifying y = -9
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