\(\dfrac{2}{3}-\left[\left(\dfrac{-7}{4}\right)-\left(\dfrac{1}{2}+\dfrac{3}{8}\right)\right]\\ =\dfrac{2}{3}+\dfrac{7}{4}+\left(\dfrac{1}{2}+\dfrac{3}{8}\right)\\ =\dfrac{2}{3}+\dfrac{7}{4}+\dfrac{1}{2}+\dfrac{3}{8}\\ =\dfrac{16}{24}+\dfrac{42}{24}+\dfrac{12}{24}+\dfrac{9}{24}\\ =\dfrac{16+42+12+9}{24}=\dfrac{79}{24}\)