Respuesta :

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