A word meaning both masturbating and consoling oneself?

In Chinese, 自慰 means '(of a person, genderless) to masturbate', and it also means 'to console oneself'.

I took it as an extension of 'God helps whose who help themselves' for a certain period of time.

I just wonder in English, whether such a word exists?

Something that comes fairly close to the Chinese with two meanings, one general and one specific, is

self-gratification (n.)

The act of pleasing oneself or of satisfying one's desires
especially: the satisfying of one's own sexual urges m-w

Self-satisfaction.
(euphemistic) Masturbation. Wiktionary

Gratify is close to console:

Console and gratify are semantically related. Sometimes you can use "Console" instead a verb "Gratify". "Console and Gratify—Related words—mutual synonyms", Thesaurus.plus

The failure I suffer reinforce my position. I feel sorry for myself, and this self-gratification consoles me for all the reverses I suffer. Tzvetan Todorov; Life in Common: An Essay in General Anthropology, p.106

I don't care what the doctor, your friend, or anyone else tells you; this is against God. This is self-gratification, and God does not approve. This devil will tell you to console/satisfy yourself. So you want to replace your former boyfriend with your hand or some other object. Evangelist Frances Elbert; Single, Sanctified, and Satisfied

With reference to the OP's request for a popular refrain. When an adult warns a teen that "Too much masturbation will make you blind!", the most popular refrain is "Can I do it just until I need glasses?"