Synonyms of 'soft-pedal'
If you moderate something or if it moderates, it becomes less extreme or violent and easier to deal with or accept.
They are hoping that he will be persuaded to moderate his views.
Thesaurus for soft-pedal from the Collins English Thesaurus
If you soft-pedal something, you deliberately reduce the amount of activity or pressure that you have been using to get something done or seen .