1. **State the problem:** Simplify the expression $\frac{10-2}{3} \times 6$. 2. **Apply the order of operations:** First, perform the subtraction in the numerator. $$10 - 2 = 8$$ 3. **Rewrite the expression:** $$\frac{8}{3} \times 6$$ 4. **Multiply the fraction by 6:** $$\frac{8}{3} \times 6 = \frac{8 \times 6}{3}$$ 5. **Simplify the fraction by canceling common factors:** $$\frac{8 \times \cancel{6}}{\cancel{3}} = \frac{8 \times 2}{1} = 16$$ 6. **Final answer:** $$16$$