Hebrews 8:8-13 (KJV)

8 For finding fault with them, he saith, Behold, the days come, saith the Lord, when I will make a new covenant with the house of Israel and with the house of Judah:

9 Not according to the covenant that I made with their fathers in the day when I took them by the hand to lead them out of the land of Egypt; because they continued not in my covenant, and I regarded them not, saith the Lord.

10 For this is the covenant that I will make with the house of Israel after those days, saith the Lord; I will put my laws into their mind, and write them in their hearts: and I will be to them a God, and they shall be to me a people:

11 And they shall not teach every man his neighbour, and every man his brother, saying, Know the Lord: for all shall know me, from the least to the greatest.

12 For I will be merciful to their unrighteousness, and their sins and their iniquities will I remember no more.

13 In that he saith, A new covenant, he hath made the first old. Now that which decayeth and waxeth old is ready to vanish away.

From the McArthur Study Bible found in Leviticus 4
Old Testament Sacrifices Compared to Christ’s Sacrifice
Leviticus compared to Hebrews
1. Old Covenant (temporary) – Heb. 7:22; 8:6,13; 10:20 – 1. New Covenant (permanent)
2. Obsolete promises – Heb. 8:6-13 – 2. Better promises
3. A shadow – Heb. 8:5; 9:23,24; 10:1 – 3. The reality
4. Aaronic priesthood (many) – Heb. 6:19-7:25 – 4. Melchizedekian priesthood (one)
5. Sinful priesthood – Heb. 7:26,27;9:7 – 5. Sinless priest
6. Limited-by-death priesthood – Heb. 7:16,17,23,24 – 6. Forever priesthood
7. Daily sacrifices – Heb. 7:27; 9:12,25,26; 10:9,10,12 – 7. Once-for-all sacrifice
8. Animal sacrifices – Heb. 9:11-15,26; 10:4-10,19 – 8. Sacrifice of God’s Son
9. Ongoing sacrifices – Heb. 10:11-14,18 – 9. Sacrifices no longer needed
10. One year atonement – Heb. 7:25; 9:12,15; 10:1-4,12 – 10. Eternal propitiation
Let us be grateful to God for the Cross, His: mercy, forgiveness, forgetfulness, revelation, teaching, Word, perfect sacrifice, intercession, grace, righteousness, new covenant,……