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Simplifying 0.06Y + 0.01(100 + -1Y) = 8 0.06Y + (100 * 0.01 + -1Y * 0.01) = 8 0.06Y + (1 + -0.01Y) = 8 Reorder the terms: 1 + 0.06Y + -0.01Y = 8 Combine like terms: 0.06Y + -0.01Y = 0.05Y 1 + 0.05Y = 8 Solving 1 + 0.05Y = 8 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.05Y = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 0.05Y = 8 + -1 0.05Y = 8 + -1 Combine like terms: 8 + -1 = 7 0.05Y = 7 Divide each side by '0.05'. Y = 140 Simplifying Y = 140
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