Subjects algebra

Simplify Expression 1F75Cc

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Simplify Expression 1F75Cc


1. **State the problem:** Simplify the expression $$\frac{2}{3}y + 14 - \frac{1}{6}y - 8$$. 2. **Combine like terms:** The terms involving $y$ are $$\frac{2}{3}y$$ and $$-\frac{1}{6}y$$. The constant terms are $$14$$ and $$-8$$. 3. **Find a common denominator for the $y$ terms:** The denominators are 3 and 6. The least common denominator is 6. 4. **Rewrite the $y$ terms with denominator 6:** $$\frac{2}{3}y = \frac{4}{6}y$$ 5. **Subtract the $y$ terms:** $$\frac{4}{6}y - \frac{1}{6}y = \frac{3}{6}y = \frac{1}{2}y$$ 6. **Simplify the constants:** $$14 - 8 = 6$$ 7. **Write the simplified expression:** $$\frac{1}{2}y + 6$$ **Final answer:** $$\frac{1}{2}y + 6$$