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Simplifying 12(Y + -7) + 0.10Y = 0.08Y + -0.07(20) Reorder the terms: 12(-7 + Y) + 0.10Y = 0.08Y + -0.07(20) (-7 * 12 + Y * 12) + 0.10Y = 0.08Y + -0.07(20) (-84 + 12Y) + 0.10Y = 0.08Y + -0.07(20) Combine like terms: 12Y + 0.10Y = 12.1Y -84 + 12.1Y = 0.08Y + -0.07(20) Multiply -0.07 * 20 -84 + 12.1Y = 0.08Y + -1.4 Reorder the terms: -84 + 12.1Y = -1.4 + 0.08Y Solving -84 + 12.1Y = -1.4 + 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. -84 + 12.1Y + -0.08Y = -1.4 + 0.08Y + -0.08Y Combine like terms: 12.1Y + -0.08Y = 12.02Y -84 + 12.02Y = -1.4 + 0.08Y + -0.08Y Combine like terms: 0.08Y + -0.08Y = 0.00 -84 + 12.02Y = -1.4 + 0.00 -84 + 12.02Y = -1.4 Add '84' to each side of the equation. -84 + 84 + 12.02Y = -1.4 + 84 Combine like terms: -84 + 84 = 0 0 + 12.02Y = -1.4 + 84 12.02Y = -1.4 + 84 Combine like terms: -1.4 + 84 = 82.6 12.02Y = 82.6 Divide each side by '12.02'. Y = 6.8718802 Simplifying Y = 6.8718802
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