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?"