Start with
[tex]2=-5x+(2y+2x)[/tex]
Sum like terms on the right hand side:
[tex]2=-3x+2y[/tex]
Add 3x to both sides:
[tex]3x+2=2y[/tex]
Divide both sides by 2:
[tex]\dfrac{3}{2}x+1=y[/tex]
Which is the required form: reading the equality from right to left gives
[tex]y=\dfrac{3}{2}x+1[/tex]
