Given the equation:
[tex]7=-\frac{3}{2}y[/tex]notice that we can multiply both sides by 2 to get rid of the denominator on the right, then, we would have the following:'
[tex]\begin{gathered} (7=-\frac{3}{2}y)\cdot(2) \\ \Rightarrow2(7)=-\frac{3}{2}(2)y \\ \Rightarrow14=-3y \end{gathered}[/tex]then, we can move the -3 that is multiplying the variable y to the left side dividing:
[tex]\begin{gathered} 14=-3y \\ \Rightarrow\frac{14}{-3}=y \\ y=-\frac{14}{3} \end{gathered}[/tex]therefore, y = -14/3