follow through
• continue an action or task to its conclusion.
• "don't promise a reward and then not follow through"
Similar:
complete,
bring to completion,
bring to a finish,
continue to the end,
see something through,
continue with,
carry on with,
keep on with,
keep going with,
stay with,
stick something out,
• (in golf, cricket, and other sports) continue the movement of a stroke after the ball has been struck.
follow-through
noun
• continuation of the movement of a bat, racket, or club after striking a ball.