To evaluate the expression \(-4x - 7y\) when \(x = -2\) and \(y = -4\), we can substitute the values of \(x\) and \(y\) into the expression.
\[ -4(-2) - 7(-4) \]
Now, calculate each term:
- \(-4(-2) = 8\)
- \(-7(-4) = 28\)
Now add the two results together:
\[ 8 + 28 = 36 \]
So, the value of the expression when \(x = -2\) and \(y = -4\) is:
\[ \boxed{36} \]