The Blood of Jesus was shed to not only forgive, but to remove sin!
In the Old Testament, the priests would sacrifice lambs, goats, etc. to cover the people's sins. However, this sacrifice was not significant to remove the stain of sin. But since Christ shed His blood, our sin can be REMOVED from our account! In Hebrews 10, it paints us this picture very clearly.
Hebrews 10:1-22, "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. For then would they not have ceased to be offered? because that the worshipers once purged should have had no more conscience of sins. But in those sacrifices there is a remembrance again made of sins every year. For it is not possible that the blood of bulls and of goats should take away sins. Wherefore when he cometh into the world, he saith, Sacrifice and offering thou wouldest not, but a body hast thou prepared me: In burnt offerings and sacrifices for sin thou hast had no pleasure. Then said I, Lo, I come (in the volume of the book it is written of me,) to do thy will, O God. 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; Then said he, Lo, I come to do thy will, O God. He taketh away the first, that he may establish the second. By the which will we are sanctified through the offering of the body of Jesus Christ once for all. And every priest standeth daily ministering and offering oftentimes the same sacrifices, which can never take away sins: But this man, after he had offered one sacrifice for sins forever, sat down on the right hand of God; From henceforth expecting till his enemies be made his footstool. For by one offering he hath perfected forever them that are sanctified. Whereof the Holy Ghost also is a witness to us: for after that he had said before, This is the covenant that I will make with them after those days, saith the Lord, I will put my laws into their hearts, and in their minds will I write them; And their sins and iniquities will I remember no more. Now where remission of these is, there is no more offering for sin. Having therefore, brethren, boldness to enter into the holiest by the blood of Jesus, By a new and living way, which he hath consecrated for us, through the veil, that is to say, his flesh; And having a high priest over the house of God; Let us draw near with a true heart in full assurance of faith, having our hearts sprinkled from an evil conscience, and our bodies washed with pure water."
Jesus tells us in Matthew 26 that His blood is shed for many for the remission of sins. The word remission here is referring to the Greek word aphesis which means:
"Forgiveness or pardon, of sins (letting them go as if they had never been committed), remission of the penalty."
With that said, read this verse to yourself and meditate (that is to soak in) it's meaning!
Matthew 26:28, "For this is my blood of the new testament, which is shed for many for the remission of sins."
John the Baptist also confirmed this when He said that Jesus, the Lamb of God, taketh away the sin... not just cover... but taketh away!
John 1:29, "The next day John seeth Jesus coming unto him, and saith, Behold the Lamb of God, which taketh away the sin of the world."