Rom 3:31 Do we then make void the law through faith? God forbid: yea, we establish the law.
Ro 3:19 ¶ Now we know that what things soever the law saith, it saith to them who are under the law: that every mouth may be stopped, and all the world may become guilty before God.
20 Therefore by the deeds of the law there shall no flesh be justified in his sight: for by the law is the knowledge of sin.
21 But now the righteousness of God without the law is manifested, being witnessed by the law and the prophets;
This is what Paul means when he said we establish the law. For its purpose to make all men guilty and to reject any attempts to justifiy themselves by any other method other than faith.
Ga 3:21 Is the law then against the promises of God? God forbid: for if there had been a law given which could have given life, verily righteousness should have been by the law.
22 But the scripture hath concluded all under sin, that the promise by faith of Jesus Christ might be given to them that believe.
23 But before faith came, we were kept under the law, shut up unto the faith which should afterwards be revealed.
24 Wherefore the law was our schoolmaster to bring us unto Christ, that we might be justified by faith.
25 But after that faith is come, we are no longer under a schoolmaster.
Hmmm, same writer...
Rom 2:12 For as many as have sinned without law shall also perish without law: and as many as have sinned in the law shall be judged by the law;
Rom 2:13 (For not the hearers of the law are just before God, but the doers of the law shall be justified.
doesn't say doing the law justifies, says that those who do the law will be justified. Justified by this...
Rom 5:9 Much more then, being now justified by his blood, we shall be saved from wrath through him.
Rom 5:10 For if, when we were enemies, we were reconciled to God by the death of his Son, much more, being reconciled, we shall be saved by his life.
You keep misapplying Gal 3:24-25. The Law referred to there is the Law of sacrifices. It doesn't take a really deep study of Heb 10 to see that the law concerning sacrifices was a bloody reminder that sin = death...
Heb 10:1 For the law having a shadow of good things to come, and not the very image of the things, can never with those sacrifices which they offered year by year continually make the comers thereunto perfect.
Heb 10:2 For then would they not have ceased to be offered? because that the worshippers once purged should have had no more conscience of sins.
Heb 10:3 But in those sacrifices there is a remembrance again made of sins every year.
Heb 10:4 For it is not possible that the blood of bulls and of goats should take away sins.
Heb 10:5 Wherefore when he cometh into the world, he saith, Sacrifice and offering thou wouldest not, but a body hast thou prepared me:
Heb 10:6 In burnt offerings and sacrifices for sin thou hast had no pleasure.
Heb 10:7 Then said I, Lo, I come (in the volume of the book it is written of me,) to do thy will, O God.
Heb 10:8 Above when he said, Sacrifice and offering and burnt offerings and offering for sin thou wouldest not, neither hadst pleasure therein; which are offered by the law;
Heb 10:9 Then said he, Lo, I come to do thy will, O God. He taketh away the first, that he may establish the second.
Heb 10:10 By the which will we are sanctified through the offering of the body of Jesus Christ once for all.
Heb 10:11 And every priest standeth daily ministering and offering oftentimes the same sacrifices, which can never take away sins:
Heb 10:12 But this man, after he had offered one sacrifice for sins for ever, sat down on the right hand of God;
Oh well, no sense flogging a deceased equine.