Well...at least you got the person who wrote the laws right. Most people who don't understand Paul's writing are those who are mostly new Testament christians. Now let's begin by taking a look at both of the laws and how they worked together. We will see there were two laws given to Moses, they were the commandments and the sacrificial law. Watch how they worked together.
And the LORD spake unto Moses, saying, Speak unto the children of Israel, saying, If a soul shall sin through ignorance against any of the commandments of the LORD concerning things which ought not to be done, and shall do against any of them: (Leviticus 4:1-2) The law in the scriptures above is the commandments.
Notice something else very important in these two scriptures. It states, "if a soul shall sin through ignorance." Notice that the scripture did not says on purpose. Why? There is no sacrifice for a sin that is committed willfully. Let's find out what was to be done if a person committed a sin against the Lord unintentionally. Let's skip down to the 27th verse and take a look at the second law (which is the sacrificial law).
And if any one of the common people sin through ignorance, while he doeth somewhat against any of the commandments of the LORD concerning things which ought not to be done, and be guilty; Or if his sin, which he hath sinned, come to his knowledge: then he shall bring his offering, a kid of the goats, a female without blemish, for his sin which he hath sinned. And he shall lay his hand upon the head of the sin offering, and slay the sin offering in the place of the burnt offering. And the priest shall take of the blood thereof with his finger, and put it upon the horns of the altar of burnt offering, and shall pour out all the blood thereof at the bottom of the altar. (Leviticus 4:27-30)
When the common people sinned through ignorance and it came to their knowledge, what did they have to do? They brought an offering, a kid of the goats, a female without blemish, for their sin which they had committed, then the priest would offer the animal to the Lord. Think about this for a moment. If an animal was killed for a person that committed sin, what will happen to us today if we a trespass against the Lord? We will find that out later. Now we see how the sacrificial law was used when a person broke a commandment unintentionally.
Now from reading this, you should be able to see which law came 430yrs later.