Antonyms for the phrase "threw weight around" include words such as "yielded," "surrendered," "submitted," or "conceded." These terms imply a willingness to listen to others and pursue a collaborative and cooperative approach, in contrast to the aggressive and domineering mindset evoked by the original phrase. By employing such antonyms, individuals can demonstrate their openness to ideas and perspectives that may differ from their own, while also showing respect for the opinions and values of others. This approach can be particularly effective in fostering positive relationships, building trust, and achieving common goals.