Explaination :
Given equation,
Our aim is to solve the given equation and get out the value of y.
Transposing the 2x which is in L.H.S. to R.H.S.,
[tex]\implies \: \displaystyle{ \sf{2x - 3y = 6}} \\ \\ \implies \: \displaystyle{ \sf{- 3y \: = \: 6 - 2x}} \\ \\ \implies \: \displaystyle{ \sf{3y \: = \: 2x - 6}}[/tex]
Dividing the R.H.S. with 3,
[tex]\implies \: \displaystyle{\sf{y \: = \: \dfrac{2x - 6}{3}}} \\ \\ \implies \: \displaystyle{ \red{\bf{y \: = \: \dfrac{2x}{3} \: - \: \dfrac{6}{3} }}}[/tex]
