To expand the expression \( \frac{3}{8}(-8 - 3y) \), follow these steps:
- Distribute \( \frac{3}{8} \) to both terms inside the parentheses:
\[ \frac{3}{8} \cdot (-8) + \frac{3}{8} \cdot (-3y) \]
- Calculate each term separately:
-
For the first term: \[ \frac{3}{8} \cdot (-8) = -3 \]
-
For the second term: \[ \frac{3}{8} \cdot (-3y) = -\frac{9}{8}y \]
- Combine the results:
\[ -3 - \frac{9}{8}y \]
So, the expanded form of \( \frac{3}{8}(-8 - 3y) \) is:
\[ -3 - \frac{9}{8}y \]