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Wow... OK, I will try it! I thought that doing it this way would just "mix" the two different fluids together, and didn't think that it would work well since I am wanting to go from "dino" fluid to synthetic!
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Click here for the "how to".
Using those procedures, there will be very little mixing going on. There will be a little bit, but that's why you use 20 quarts of new ATF instead of the almost-18 quarts the system holds.
After you drain the pan (or use the option to pump the pan dry), there will be only a few drops of ATF left in the pan. So you're not mixing the ATF in the pan.
Think of the rest of the system as a garden hose. You push ATF into one end of the hose, and that forces the old ATF out the other end. Where the new and old ATF meets inside the hose, there will be a little mixing - expecially in the torque converter where the garden hose expands to a bigger size. But the extra two quarts of ATF you use for the job will push that mixed ATF out the end of the garden hose by the time you get done.