The phrase, found in at least 13 verses, is "through or by faith." "Through translates the Greek preposition "dia" and when used to show instrumentality, can be translated as "by way of" when "faith" is in the "genitive" case. The Greek preposition is used in the phrase to show instrumentality, something is achieved by means of faith or by way of faith.
Romans 4 teaches God credits our faith as righteousness for our benefit. Thus the phrase indicates God uses the "faith" path in bestowing His blessing upon a person or people. Thus a less encrypted version of the verses using the phrase would read "by way of your credited faith."
Interpretive translations - decryption version
Romans 3:25
God set forth Christ Jesus as the means of reconciliation
by way of your credited faith in His blood, to demonstrate God's righteousness because God withheld the penalty for our previously committed sins.
Here God uses the "faith path" to bestow reconciliation upon guilty sinners.
Romans 3:30
since indeed God who will justify the Jewish circumcised based on their credited faith and the Gentile uncircumcised
by way of their credited faith is undivided and consistent.
Here God uses the "faith path" to bestow justification upon Jews and Gentiles alike.
Romans 3:31
Then are we nullifying the Law
by way of your credited faith? May it never be! Rather, we are sustaining the Law.
Here God uses the "faith path" to sustain the Law.
2 Corinthians 5:7
for we live
and walk according to the way of our credited faith, not by sight.
Here I think our subsequent faithful walk with Christ following our rebirth is in view.
Galatians 3:14
in order that in Christ Jesus the blessing of Abraham would come to the Gentiles, so that we would receive the promise of the Spirit
by way of our credited faith.
Here God uses the "faith path" to bestow the promised Spirit.
Galatians 3:26
For you are all children of God
by way of your credited faith in Christ Jesus.
Here God uses the "faith path" to cause believers to be spiritually born anew.
Ephesians 2:8
For by grace you have been saved
by way of your credited faith; and this
salvation is not of yourselves,
it is the gift of God;
Here God uses the "faith path" to select and save some of the lost and fallen according to His Redemption plan.
Ephesians 3:17
that Christ may dwell in your hearts
by way of your credited faith so that, because you have been rooted and grounded in love,
Here God uses the "faith path" to seal us within Christ with the Spirit of Christ, such that we are in Christ and Christ is in us.
Colossians 2:12
having been buried with Him in baptism, in which you were also raised with Him
by way of your credited faith in the working of God, who raised Him from the dead.
2 Timothy 3:15
and how from infancy you have known the holy writings, which are able to give you wisdom that leads to salvation
by way of your credited faith in Christ Jesus.
Hebrews 6:12
so that you may not be sluggish, but imitators of those who
by way of their credited faith and perseverance inherit the promises.
Hebrews 11:33
By
way of their approved faith they conquered kingdoms, administered justice, gained what was promised, shut the mouths of lions,
1 Peter 1:5
who by God's power are protected
by way of their credited faith for a salvation ready to be revealed in the last time.
