The difference between Belly up to the bar and Face the music
When used as verbs, belly up to the bar means to commit oneself to a challenge or task, whereas face the music means to accept or confront the unpleasant consequences of one's actions.
check bellow for the other definitions of Belly up to the bar and Face the music
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Belly up to the bar as a verb (chiefly, US, idiomatic):
To commit oneself to a challenge or task; to accept a responsibility; to acknowledge a fact.
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Face the music as a verb (idiomatic):
To accept or confront the unpleasant consequences of one's actions.