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Simplifying 12(Y + -2) + 0.04Y = 0.08Y + -1 Reorder the terms: 12(-2 + Y) + 0.04Y = 0.08Y + -1 (-2 * 12 + Y * 12) + 0.04Y = 0.08Y + -1 (-24 + 12Y) + 0.04Y = 0.08Y + -1 Combine like terms: 12Y + 0.04Y = 12.04Y -24 + 12.04Y = 0.08Y + -1 Reorder the terms: -24 + 12.04Y = -1 + 0.08Y Solving -24 + 12.04Y = -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. -24 + 12.04Y + -0.08Y = -1 + 0.08Y + -0.08Y Combine like terms: 12.04Y + -0.08Y = 11.96Y -24 + 11.96Y = -1 + 0.08Y + -0.08Y Combine like terms: 0.08Y + -0.08Y = 0.00 -24 + 11.96Y = -1 + 0.00 -24 + 11.96Y = -1 Add '24' to each side of the equation. -24 + 24 + 11.96Y = -1 + 24 Combine like terms: -24 + 24 = 0 0 + 11.96Y = -1 + 24 11.96Y = -1 + 24 Combine like terms: -1 + 24 = 23 11.96Y = 23 Divide each side by '11.96'. Y = 1.923076923 Simplifying Y = 1.923076923
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