To solve the expression $-\dfrac{5}{8} - \left(-\dfrac{4}{3}\right)$, follow these steps:

1. Simplify the double negative: $-\dfrac{5}{8} - \left(-\dfrac{4}{3}\right) = -\dfrac{5}{8} + \dfrac{4}{3}$

2. Find a common denominator:

   • The denominators are 8 and 3. The least common denominator (LCD) is 24.

3. Convert each fraction to have the common denominator:

   • $-\dfrac{5}{8} = -\dfrac{5 \times 3}{8 \times 3} = -\dfrac{15}{24}$
   • $\dfrac{4}{3} = \dfrac{4 \times 8}{3 \times 8} = \dfrac{32}{24}$

4. Add the fractions: $-\dfrac{15}{24} + \dfrac{32}{24} = \dfrac{32 - 15}{24} = \dfrac{17}{24}$

So, $-\dfrac{5}{8} - \left(-\dfrac{4}{3}\right) = \dfrac{17}{24}$.

Would you like more details or have another question? Here are some related topics:

1. What is the process for simplifying expressions with multiple negatives?
2. How do you convert fractions with different denominators?
3. How do you find the least common denominator (LCD)?
4. How do you add or subtract fractions with unlike denominators?
5. How can negative fractions be managed in algebraic expressions?

Tip: When you encounter a double negative, remember that it simplifies to a positive.