When it comes to synonyms for the term "lay on," there are plenty of options available. One of the most common in everyday speech is "apply," which can refer to putting pressure on someone or something, as well as in a more general sense of attaching or affixing something. Other possibilities include "place," "set," "position," and "deposit," all of which suggest a deliberate and precise action rather than a casual or haphazard one. "Load," "stack," and "pile" might also come to mind, particularly in reference to objects being arranged in a particular way, while "impose," "inflict," and "enforce" have more negative connotations and imply the use of force or authority. Regardless of which synonym you choose, it's important to be clear about your intended meaning and to use the word that best fits the context.