3x + 2y = 10
3x is adding on the left, then it will subtract on the right:
2y = 10 - 3x
or
2y = -3x + 10
2 is multiplying on the left, then it will divide on the right:
[tex]\begin{gathered} y=\frac{-3x+10}{2} \\ y=-\frac{3x}{2}+\frac{10}{2}\text{ Distributing} \\ y=-\frac{3}{2}x+5 \end{gathered}[/tex]The correct option is option C