Expand 3/8(−8−3y) .(1 point) Responses −9/8y+3 negative Start Fraction 9 over 8 End Fraction y plus 3 −3y−9/8 negative 3 y minus Start Fraction 9 over 8 End Fraction −9/8y−3 negative Start Fraction 9 over 8 End Fraction y minus 3 −3y+9/8

1 answer

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:

  1. \( \frac{3}{8}(-8) = -\frac{24}{8} = -3 \)

  2. \( \frac{3}{8}(-3y) = -\frac{9}{8}y \)

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.