For those who are having difficulty understanding what "under the law" means, here's a quick explanation:
When Paul speaks of being "under the law" or the "works of the law", he is speaking against legalism, and not against the Torah. There is no Hebrew word for the concept of "legalism" or "legalist" so Paul was hindered in his attempt to explain to the Gentiles that legalism was not what God intended.
Paul was not teaching against Torah observance by believers of Yeshua; rather, he was being careful in his language to make it clear that Torah was not given by God to be used in a legalistic manner.
Some people insist that there is no explicit text in the New Testament that commands us to "walk in Torah" or in any way continue to adhere to any of the commands of the old covenant. However, Romans 3:31 clearly says: 31 Do we then nullify the Law through faith? May it never be! On the contrary, we establish the Law....