To expand the expression \( \frac{3}{8}(-8 - 3y) \), we can distribute \( \frac{3}{8} \) to each term inside the parentheses:
\[ \frac{3}{8}(-8) + \frac{3}{8}(-3y) \]
Calculating each term separately:
-
\( \frac{3}{8}(-8) = -\frac{24}{8} = -3 \)
-
\( \frac{3}{8}(-3y) = -\frac{9}{8}y \)
Now, combining these results gives us:
\[ -\frac{9}{8}y - 3 \]
Putting it all together, the expanded expression is:
\[ -\frac{9}{8}y - 3 \]
The correct answer corresponds to the option: −9/8y−3.