1. **State the problem:** Simplify the expression $$-6 + \frac{25}{3} - 1$$. 2. **Combine like terms:** First, combine the integer terms $$-6$$ and $$-1$$. $$-6 - 1 = -7$$ 3. **Rewrite the expression:** Now the expression is $$-7 + \frac{25}{3}$$ 4. **Find a common denominator:** To add these, convert $$-7$$ to a fraction with denominator 3. $$-7 = \frac{-7 \times 3}{3} = \frac{-21}{3}$$ 5. **Add the fractions:** $$\frac{-21}{3} + \frac{25}{3} = \frac{-21 + 25}{3} = \frac{4}{3}$$ 6. **Final answer:** $$\boxed{\frac{4}{3}}$$ This means the simplified value of the expression is $$\frac{4}{3}$$.