"By a new and living way, which he hath consecrated for us, through the veil, that is to say, his flesh;" (Hebrews 10: 20)
Jesus declared to His disciples:
"Jesus saith unto him, I am the way, the truth, and the life: no man cometh unto the Father, but by me." (John 14: 6)
When most of read this passage, we usually think of a pathway to getting to someone. Then again, how is a person a pathway?
Jesus was speaking to His Jewish disciples then, and the context of coming to God, or getting close to Him, was always tied up in the sacrifices:
"26Neither shalt thou go up by steps unto mine altar, that thy nakedness be not discovered thereon." (Exodus 20: 26)
"And Moses said unto Aaron, Go unto the altar, and offer thy sin offering, and thy burnt offering, and make an atonement for thyself, and for the people: and offer the offering of the people, and make an atonement for them; as the LORD commanded." (Leviticus 9: 7)
Because Jesus is the Lamb who takes away (present tense) the sins of the world (John 1: 29), we know that we can come to God our Father anytime, since the blood of His Son Jesus cleanses us from all unrighteousness (1 John 1: 7).
Now, what does the veil and the flesh speak of, regarding the living path that we have to God?
When Jesus died on the Cross, the veil in the Temple, which had divided the Holies of Holies from the entire world, was ripped from top to bottom:
"50Jesus, when he had cried again with a loud voice, yielded up the ghost. 51And, behold, the veil of the temple was rent in twain from the top to the bottom; and the earth did quake, and the rocks rent; " (Matthew 28: 50-51)
Because Jesus died for us and as us, sin was condemned in His flesh:
"2For the law of the Spirit of life in Christ Jesus hath made me free from the law of sin and death. 3For what the law could not do, in that it was weak through the flesh, God sending his own Son in the likeness of sinful flesh, and for sin, condemned sin in the flesh:" (Romans 8: 2-3)
When we come to God today, even if we find sinful thoughts and feelings in our bodies, we reckon ourselves dead to these sins, too (Romans 6:11-14), because Jesus' death accomplished a perfect work in purging our consciences and perfecting us forever before God the Father (Hebrews 10: 14).
Jesus is alive, and we live because of Him, and through Him we have perfect access to God our Father, knowing that Jesus perfected us in Him, and thus grants us boldness to come to God in our every time of need (Hebrews 4: 16)