This is what you are looking for :
In SQL SERVER
UPDATE
brev_efile_user_doc_stats
SET
brev_efile_user_doc_stats.reviewed_event_code = R.reviewed_event_code
, brev_efile_user_doc_stats.corrected_seq_id = R.sequence_id
FROM
brev_efile_user_doc_stats S
INNER JOIN brev_efile_review R
ON R.trans_nbr = S.trans_nbr
In Mysql
UPDATE brev_efile_user_doc_stats AS S
INNER JOIN brev_efile_review AS R ON R.trans_nbr = S.trans_nbr
SET S.reviewed_event_code = R.reviewed_event_code
, S.corrected_seq_id = R.sequence_id