A board is a view of a set of issues. It shows issues selected by the filter. You do not "move" an issue between boards - the issue is chosen for display by the board.
If you want to have an issue not show on a board, look at the board filter to see why it is on the board, and then change the issue to change it such that it will no longer be selected. To make it appear on another board, make those edits make it match the board filter.
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