In inverse variation, the relationship between \( x \) and \( y \) can be expressed as:
\[ y = \frac{k}{x} \]
where \( k \) is a constant.
Given that \( y = 6 \) when \( x = -2 \), we can find the constant \( k \):
\[ 6 = \frac{k}{-2} \]
Multiplying both sides by -2 gives:
\[ k = 6 \times -2 = -12 \]
Now that we have \( k = -12 \), we can use it to find \( y \) when \( x = -3 \):
\[ y = \frac{-12}{-3} = 4 \]
Thus, when \( x = -3 \), \( y \) is \( 4 \).