You have the following expression:
[tex]2i+(x+yi)=6[/tex]in order to determine the value of x + yi, subtract 2i both sides of the previous equation:
[tex]\begin{gathered} 2i-2i+(x+yi)=6-2i \\ x+yi=6-2i \end{gathered}[/tex]Hence, x+ yi is equal to 6 - 2i
