WHOLE CHARACTER
右yòu
right (the side) (右手, 右边); the west (in geography); rightist; conservative (右派); esteemed; higher (classical: 无出其右)
右 is the right side — your right hand, and the west on old maps.
ZDIC: 会意, 从口、从又 — a mouth beside the hand that feeds it, in the classic account.
HAND PIECE (又)
又yòu
again; right hand in older use
Standalone meaning is kept separate from its role in other characters.
In 右: hand piece (又) The hand shape is written reduced above the mouth piece.
MEANING: MOUTH PIECE
口kǒu
mouth; opening
Mouth/speech/opening clue; may also be a repeated visual element.
In 右: meaning: mouth piece Shown with its documented or clearly limited role.