Product review (5 stars): Surprisingly easy fix
Our LG washer stopped pumping the water out.  We looked at how much the repair would be, and when you add the visit, part, and labor, you are looking at no less than $200. So we went out looking at new washers because at that point, you might as well spend another $100-$200 and get a brand new unit. We came back empty handed because I couldn't get myself to buy a new washer just yet.

After some googling, we found some YouTube videos that explain how to change the part.  It seemed a little involved but nothing horrible.  Then I saw this part and that it's priced affordably so we decided to take what I called "a $37 gamble".

We ended up not following the instructions in the YouTube videos. We found it easier to just turn the washer upside down.  Then all it took was to take out 3 screws on the front, where the filter is, and you can pull out the whole pump out from the bottom of the washer.  10 minutes later, we had replaced the pump and secured it back into place.

We did a test "quick cycle" to see if the water would drain, and it did.  The gamble paid off!