After these things Jesus walked in Galilee: for he would not walk in Jewry, because the Jews sought to kill him.
After these things - that is, all that is recorded after the discourse of John 5:19-47,
Jesus walked in Galilee - continuing His labours there, for the reason about to be mentioned.
For he would not walk in Jewry (or Judea), because the Jews sought to kill him - as related in John 5:18. This is an exceedingly important piece of information, as we thus learn that our Lord did not attend the Passover mentioned in John 6:4 - which, according to our reckoning, was the third since the opening of His public ministry.