Answer
$(-\infty , \infty)$
or, $\{x|x \in R\}$
Work Step by Step
Any value of x in $-e^{x+5}-6$ will return a value of y.
Note that the Range of this function is $(-\infty, -6)$, because for any value of x no value of y can be returned such that $y\geq -6$
(See graph for further clarification)