Guild Wars 2

I stowed away a low level legging into my bank, then I took the same piece of armor and gave it to one of my other characters. However, when I first saw it, it still had the same color dyes on it in the from the previous character and, when it went to change it, they color remained the same despite being changed. I then saw that that could be customized by the original character but not by the new one. Also, when acquiring item from it’s storyline, it still remain in the original color of the previous armor, making it impossible to change the armor color, due to it being soulbound to said character.

Is there anyway to resolve this problem?

The item is still dyed in the colors it was when worn by your other character.
If you now wear it on a new character then it will still be dyed to the colors it was for your other character, even if your new character does not have those dyes unlocked.

If you go to change some of the dyes, but leave a dye color on a slot that is not unlocked for that character, then any changes will not be saved.

To change the dyes on the new character, you must unlock the used dye on your new character that was applied to the item by your other character, remove or replace any colors on the item that your character does not have unlocked, or leave the item to forever remain in the colors it is in right now.

Character 1 dyes the item all Abyss
If Character 2 can wear the item then they can wear it and it remains Abyss even if they don’t have Abyss unlocked.
For Character 2 to change the dyes, all Abyss must be removed/replaced with another color for changes to be saved
Character 2 can also simply unlock Abyss for Character 2 so changes to other dye slots while also keeping Abyss on a dye slot can be saved.