So I got it sorted down to which RV you have and snipped a picture of the system to show what is happening.
You have the two tanks but they both drain out the same big outlet. It is always good to drain the black tank first as we can then let the grey water help flush any solid waste out of the drain hose before we store it. So we do the black first in this numbered order.
This looking from the front side toward the rear with the main oulte under the black tank and valve.
Step 1 connectt he drain tube to the sewer.
step 2 pull the black tank handle to open it and leave it open as that tank drains.
Step 3 when black tank stops running, close that valve and go to rear where the grey tank and valve are located
Step 4 open the grey tank drain valve. You may hear some water run but not much as it has to go up to get out!
Step 5 turn on the pump and it should pump the water up and through the tube to where it connects to the main drain near the black tank valve!
Step 6. When you hear the sound change when it runs out of water, turn the pump off
Step 7 close the grey tank valve, disconnect the drain tube and store it!
All done!
Hint? There are times when it may be good to run some fresh water through the drain tube if you can see waste still in it? I never like to haul more of that around than I need!