To expand the expression \( \frac{3}{8}(-8 - 3y) \), you distribute \( \frac{3}{8} \) to both terms inside the parentheses.
-
Distributing \( \frac{3}{8} \) to \(-8\): \[ \frac{3}{8} \times -8 = -\frac{24}{8} = -3 \]
-
Distributing \( \frac{3}{8} \) to \(-3y\): \[ \frac{3}{8} \times -3y = -\frac{9y}{8} \]
Combining both results, the expanded expression is: \[ -3 - \frac{9y}{8} \]
So, the expansion of \( \frac{3}{8}(-8 - 3y) \) results in: \[ -3 - \frac{9y}{8} \]