We are given the linear equation $y = -3x - 2$, and we need to complete the table of values for different $x$-values.

The equation tells us that for any value of $x$, we can calculate $y$ by substituting the value of $x$ into the equation $y = -3x - 2$.

Let's calculate the values for each $x$ in the table:

1. For $x = -3$: $y = -3(-3) - 2 = 9 - 2 = 7$

2. For $x = 0$: $y = -3(0) - 2 = 0 - 2 = -2$

3. For $x = 3$: $y = -3(3) - 2 = -9 - 2 = -11$

4. For $x = 6$: $y = -3(6) - 2 = -18 - 2 = -20$

Now, the completed table is: