Given:
3y−4=6−2y
To solve for the given equation, we add 4 to both sides first:
[tex]\begin{gathered} 3y-4+4=6+4-2y \\ \end{gathered}[/tex]Simplify and Rearrange:
[tex]3y=-2y+10[/tex]Add 2y to both sides:
[tex]\begin{gathered} \\ 3y+2y=-2y+2y+10 \\ 5y=10 \end{gathered}[/tex]Divide both sides by 5:
[tex]\frac{5y}{5}=\frac{10}{5}[/tex]Simplify:
[tex]y=2[/tex]Therefore, the value of y is 2.