The phrase "on one's merry way" means to be happily moving along or progressing with something, often in a carefree or lighthearted manner. It can also imply that someone is enjoying themselves or feeling content with their current situation.
It wasn't as if they absolutely had to change their culture; the company was already turned around, and the Centenaris could have gone on their merry way with conventional managerial ideas. (inc.com)
We know you can buy Treasuries at any bank, but at Edward Jones you won't just be sent on your merry way with a deposit receipt and a bond certificate. (edwardjones.com)
I showed her the website and went on my merry way with a bomb manicure. (wellness-by-kristina.com)