Step 1 :Start with the inequality -7q - 8 > -6q - 4.
Step 2 :Add 7q to both sides to get rid of -7q on the left side, resulting in -8 > q - 4.
Step 3 :Add 4 to both sides to get rid of -4 on the right side, resulting in -4 > q.
Step 4 :Finally, the solution to the inequality is \(\boxed{q < -4}\).