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Simplifying 0.18Y + 0.05(Y + 4000) = 1580 Reorder the terms: 0.18Y + 0.05(4000 + Y) = 1580 0.18Y + (4000 * 0.05 + Y * 0.05) = 1580 0.18Y + (200 + 0.05Y) = 1580 Reorder the terms: 200 + 0.18Y + 0.05Y = 1580 Combine like terms: 0.18Y + 0.05Y = 0.23Y 200 + 0.23Y = 1580 Solving 200 + 0.23Y = 1580 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + 0.23Y = 1580 + -200 Combine like terms: 200 + -200 = 0 0 + 0.23Y = 1580 + -200 0.23Y = 1580 + -200 Combine like terms: 1580 + -200 = 1380 0.23Y = 1380 Divide each side by '0.23'. Y = 6000 Simplifying Y = 6000
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