The given equation is
[tex]2x+9y=18[/tex]We want to solve this equation for y.
Our goal is to separate the variable y.
First, subtract 2x from both sides of the equation
[tex]2x-2x+9y=18-2x[/tex]Simplify the equation
[tex]9y=18-2x[/tex]Now divide both sides of the equation by 9.
[tex]\frac{9y}{9}=\frac{18-2x}{9}[/tex]Simplify the equation
[tex]y=\frac{18-2x}{9}[/tex]As you can notice, we have solved the equation for the variable y.
The solution can also be written as,
[tex]\begin{gathered} y=\frac{18}{9}-\frac{2x}{9} \\ y=2-\frac{2x}{9} \end{gathered}[/tex]