To solve \(-\frac{3}{5} - \frac{33}{20}\), we first need to have a common denominator.
The denominators are 5 and 20. The least common denominator (LCD) is 20.
Now, convert \(-\frac{3}{5}\) to a fraction with a denominator of 20:
\[ -\frac{3}{5} = -\frac{3 \times 4}{5 \times 4} = -\frac{12}{20} \]
Now, we can rewrite the expression:
\[ -\frac{12}{20} - \frac{33}{20} \]
Since both fractions have the same denominator, we can combine them:
\[ -\frac{12 + 33}{20} = -\frac{45}{20} \]
Now, we can simplify \(-\frac{45}{20}\) by dividing the numerator and the denominator by their greatest common divisor, which is 5:
\[ -\frac{45 \div 5}{20 \div 5} = -\frac{9}{4} \]
So, the final answer is:
\[ -\frac{9}{4} \]