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PUSH LEFT, PLAY RIGHT (Article 130)
Commentary: Tiles are picked by players in counter-clockwise (to the right) order, except the walls, which are pushed out in clockwise (to the left) order. This playing sequence originated in Asia, where all players take turns in a counter-clockwise order, and seat-to-Wind assignments are given to seat positions. Most Westerners reference the East player and think more about player numbers than seat-to-Wind assignments. To Westerners, the seat-to-Wind assignments can be confusing and seem backward. You can use this mnemonic to remember the ESWN order, “Eat Soup With Nuts.”

Answer from the NMJL: “Picking from the Walls goes to the left. PLAY TO THE RIGHT, PICK FROM THE LEFT. ”
Source: Mah Jongg Made Easy (2020 page 11 para. 1; omitted from the 2024 edition)
Other answer from the NMJL:
“Everything in mah jongg goes to the right except the wall.”
Source for other answer: National Mah Jongg League Bulletin Q&A (2013) https://www.nationalmahjonggleague.org