ANSWER
[tex]y=7[/tex]EXPLANATION
Given;
[tex]6\left(y-7\right)-3y=-21[/tex]Expand ;
[tex]\begin{gathered} 6\left(y-7\right)-3y=-21 \\ 6y-42-3y=2-1 \end{gathered}[/tex]Group like terms and solve;
[tex]\begin{gathered} 6y-42-3y=-21 \\ 3y-42=-21 \\ \end{gathered}[/tex]Add 42 to both sides;
[tex]\begin{gathered} 3y-42+42=-21+42 \\ 3y=21 \end{gathered}[/tex]Divide both sides by 3;
[tex]\begin{gathered} \frac{3y}{3}=\frac{21}{3} \\ y=7 \end{gathered}[/tex]