Since $\frac{8}{5}$ and $\frac{35}{5}$ have the same denominator, add them by adding their numerators.
$$\frac{8+35}{5}-\frac{h}{6}$$
Add $8$ and $35$ to get $43$.
$$\frac{43}{5}-\frac{h}{6}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $5$ and $6$ is $30$. Multiply $\frac{43}{5}$ times $\frac{6}{6}$. Multiply $\frac{h}{6}$ times $\frac{5}{5}$.
$$\frac{43\times 6}{30}-\frac{5h}{30}$$
Since $\frac{43\times 6}{30}$ and $\frac{5h}{30}$ have the same denominator, subtract them by subtracting their numerators.