The way a person lives is spoken of as a path on which one walks. Alternate translation: "I will punish you for the things you have done" (See: [[rc://en/ta/man/jit/figs-metaphor]])
When Yahweh says that people will know that he is Yahweh, he is implying that they will know that he is the one true God who has supreme authority and power. See how you translated this in [Ezekiel 6:7](../06/07.md). Alternate translation: "understand that I am Yahweh, the one true God" or "realize that I, Yahweh, have supreme power and authority" (See: [[rc://en/ta/man/jit/figs-explicit]])