This phrase is another way to say, "Let me say this differently so it is easier for you to understand." For example: Person #1: Wow, look at those superfluous (this means unnecessary) words! Person #2: What does that word mean? Person #1: To put it another way, those words are unnecessary.

Gibbs played a key role in founding the Aborigines' Progressive Association (APA) in 1938, an organization dedicated to improving the social and legal status of Indigenous people. She was a vocal advocate, utilizing public speaking and writing to draw attention to the injustices faced by her community. Her leadership and tireless efforts helped influence policy changes and legislative reforms, contributing significantly to the broader movement for Indigenous rights and recognition in Australia. Through her work, Gibbs empowered her community and left a lasting impact on the fight for social justice.

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To me "Let me put it another way." sounds more natural than "Let me put it *in* another way."