solve for the indicated variable. use / to denote a fraction if needed.

Given the expression:
[tex]-4x+3y=w[/tex]to solve for y, we have to move all the terms and coefficients to the opposite side of the equation. First we move the term 4x to the right side with a positive sign (since it has a negative sign) and the 3 that is multiplying y is going to move to the other side dividing the resulting expression.
We have then:
[tex]\begin{gathered} -4x+3y=w \\ \Rightarrow3y=w+4x \\ \Rightarrow y=\frac{w+4x}{3} \end{gathered}[/tex]therefore, y= (w+4x)/3