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Simplifying 3(13.6 + (-0.6y)) + -2(0.54) = 42 (13.6 * 3 + (-0.6y) * 3) + -2(0.54) = 42 (40.8 + -1.8y) + -2(0.54) = 42 Multiply -2 * 0.54 40.8 + -1.8y + -1.08 = 42 Reorder the terms: 40.8 + -1.08 + -1.8y = 42 Combine like terms: 40.8 + -1.08 = 39.72 39.72 + -1.8y = 42 Solving 39.72 + -1.8y = 42 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-39.72' to each side of the equation. 39.72 + -39.72 + -1.8y = 42 + -39.72 Combine like terms: 39.72 + -39.72 = 0.00 0.00 + -1.8y = 42 + -39.72 -1.8y = 42 + -39.72 Combine like terms: 42 + -39.72 = 2.28 -1.8y = 2.28 Divide each side by '-1.8'. y = -1.266666667 Simplifying y = -1.266666667
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