Solution:
Given:
[tex]6(2y+6)=4(9+3y)[/tex]
Simplifying the equation further,
[tex]\begin{gathered} 12y+36=36+12y \\ Subtracting\text{ 36 from both sides;} \\ 12y+36-36=36-36+12y \\ 12y=12y \\ Dividing\text{ both sides by 12;} \\ \frac{12y}{12}=\frac{12y}{12} \\ y=y \end{gathered}[/tex]
Both equations are equal. When two equations are equal, the system will have infinitely many solutions.
From the above, the equation has infinitely many solutions.
