You were made clean conditionally, so that you will not sin again, said to the adulterous woman. Clean indeed, so as not to sin, not of ceremonial law, or sabbath law or food law or festival law...but that ye sin not against the Core Law of Moses, the Ten, the Golden Rule but especially the Shema.
As Jesus released this woman, so are you released into Covenant, New Covenant, that ye may WANT to do Shema, to love your God with all of you.
Paul taught what Jesus taught.
Jesus did not come to abolish the law, he fulfilled it.
The law with works is about having to be circumcised, and having to adhere to a dietary law, and observe special days, and do various external washings, and sacrifice animals.
Those works are the things the Jews used to have to do just to worship God. Those works were teaching tools. Those works were a shadow of what was coming. Those works were about Jesus.
The Law said to circumcise the flesh for a sign of faith. Jesus fulfilled that Law to us we do not have to circumcise ourselves in the flesh, because the Holy Spirit circumcises our hearts, the Holy Spirit is the sign of our faith.
The Law commanded various external washings, to make ourselves clean. Jesus fulfilled that Law for us---his blood makes us clean, once and for all.
The Law commanded that we observe special days. Jesus fulfilled that Law, because ALL those special days are about Jesus, when we observe Jesus, we observe those special days---Jesus is our Sabbath rest. Jesus is our Passover, etc.
The Law said blood must be shed for the forgiveness of sins, we were told to give animal sacrifices. Jesus fulfilled that Law, because he is the Sacrificial Lamb of God.
See, Jesus fulfilled the law. Since we have salvation through Jesus, it is a greater salvation. Is it greater to observe the Son of God instead of special days? Is it better to be cleaned by the blood of God than by animals? Is it better to be circumcised in the heart by the Holy Spirit, than with a physical circumcision done by the hands of men? The Jews had to do certain ceremonial things, just to go to the temple to worship God. Through Jesus, we are made clean, and we become the temple of the Living God. Circumcision, special days, various external washings, and the sacrifice of animals...these were all teachings tools, a shadow of what was coming, Jesus Christ.