"The council which decided this case was composed of apostles and teachers who had been prominent in raising up the Jewish and Gentile Christian churches, with chosen delegates from various places. Elders from Jerusalem and deputies from Antioch were present, and the most influential churches were represented. The council moved in accordance with the dictates of enlightened judgment, and with the dignity of a church established by the divine will. As a result of their deliberations they all saw that God Himself had answered the question at issue by bestowing upon the Gentiles the Holy Ghost; and they realized that it was their part to follow the guidance of the Spirit. AA 196.1"
"And the apostles and elders came together for to consider of this matter."
The EGW passage directly refers to the council in Acts 15, and verse 6 is a key part of that narrative. The passage amplifies the details of the council, but is clearly based on the biblical account.
"The entire body of Christians was not called to vote upon the question. The “apostles and elders,” men of influence and judgment, framed and issued the decree, which was thereupon generally accepted by the Christian churches. Not all, however, were pleased with the decision; there was a faction of ambitious and self-confident brethren who disagreed with it. These men assumed to engage in the work on their own responsibility. They indulged in much murmuring and faultfinding, proposing new plans and seeking to pull down the work of the men whom God had ordained to teach the gospel message. From the first the church has had such obstacles to meet and ever will have till the close of time. AA 196.2"
"And that because of false brethren unawares brought in, who came in privily to spy out our liberty which we have in Christ Jesus, that they might bring us into bondage:"
Both passages describe the presence of dissenting voices and opposition within the early church. Galatians 2:4 speaks of 'false brethren' who sought to undermine the freedom in Christ, while EGW describes a faction disagreeing with the council's decision and causing disruption.