Expand 3/8(−8−3y).(1 point)
Responses
−98y+3
negative Start Fraction 9 over 8 End Fraction y plus 3
−3y+98
negative 3 y plus Start Fraction 9 over 8 End Fraction
−98y−3
negative Start Fraction 9 over 8 End Fraction y minus 3
−3y−98
To expand the expression \( \frac{3}{8}(-8-3y) \), we distribute the \( \frac{3}{8} \) across both terms inside the parentheses.
First, multiply the \( \frac{3}{8} \) by \(-8\):
\( \frac{3}{8} \times -8 = -3 \)
Then, multiply the \( \frac{3}{8} \) by \(-3y\):
\( \frac{3}{8} \times -3y = -\frac{3 \times 3}{8}y = -\frac{9}{8}y \)
Combining both results, we get:
\( -3 - \frac{9}{8}y \)
Therefore, the correct expansion is:
\( -3 - \frac{9}{8}y \)
This corresponds to the text response:
negative Start Fraction 9 over 8 End Fraction y minus 3