To solve the expression \(-\frac{48}{96} + -\frac{37}{148}\), we need to simplify each fraction and then add them together.

First, simplify \(-\frac{48}{96}\):
\[
-\frac{48}{96} = -\frac{1}{2} \quad \text{(since 48 is half of 96)}
\]

Next, simplify \(-\frac{37}{148}\):
\[
\text{To simplify } -\frac{37}{148}, \text{ we need to check if 37 is a factor of 148.}
\]
\[
148 \div 37 = 4 \quad \text{(since 37 times 4 equals 148)}
\]
\[
-\frac{37}{148} = -\frac{1}{4}
\]

Now we need to add the two simplified fractions:
\[
-\frac{1}{2} + -\frac{1}{4}
\]

To add these fractions, we need a common denominator. The least common denominator (LCD) of 2 and 4 is 4. Convert \(-\frac{1}{2}\) to a fraction with a denominator of 4:
\[
-\frac{1}{2} = -\frac{2}{4}
\]

Now add the fractions:
\[
-\frac{2}{4} + -\frac{1}{4} = -\frac{2 + 1}{4} = -\frac{3}{4}
\]

So, the result of the expression \(-\frac{48}{96} + -\frac{37}{148}\) is:
\[
-\frac{3}{4}
\]