The English Standard Version of Hebrews 9:15 reads, “Therefore He [Christ] is the mediator of a new covenant, so that those who are called may receive the promised eternal inheritance, since a death has occurred that redeems them from the transgressions committed under the first covenant.”
The King James Version of Hebrews 9: 15 reads, “And for this cause He [Christ] is the mediator of the new covenant, that by means of death, for the redemption of the transgressions that were under the first testament, they who are called might receive the promise of eternal inheritance.”
The Holman Christian Standard Bible version of Hebrews 9:15 reads, “Therefore, He [Christ] is the mediator of a new covenant, so that those who are called might receive the promise of eternal inheritance, because a death has taken place for redemption from the transgressions committed under the first covenant.”
Our redemption from the transgressions committed under the old or first covenant occurs because of a death. The death of Jesus makes Him the perfect mediator of a new covenant under which we — who are called by the Holy Spirit — are given our promised inheritance. That inheritance is guaranteed by the seal of that same Holy Spirit, who is known to us as the third person of the triune God.
Everything is purified by blood under the old covenant, and so also under the new testament. But, rather than the blood of bulls and goats, our purification is purchased by the blood of the Lamb of God, Jesus Christ. “Consequently, when Christ came into the world, He said, ‘ Sacrifices and offerings You have not desired, but a body have You prepared for Me; in burnt offerings and sin offerings You have taken no pleasure. Then I said, ‘Behold, I have come to do Your will, O God, as it is written of Me in the scroll of the Book.” (Hebrews 10:5-7)
In doing God’s will, Jesus fulfills the Law. Jesus “does away with the first in order to establish the second. And by that will we have been sanctified through the offering of the body of Jesus Christ once for all.” (Hebrews 10:9-10)