Answer:
[tex]y=84[/tex]
Step-by-step explanation:
[tex]\left(\frac{1}{3}\right)y+11=\left(\frac{1}{2}\right)y-3[/tex]
Use distributive property.
[tex]\frac{1}{3}y+11=\frac{1}{2}y-3[/tex]
[tex]\frac{1}{3}y+11-11=\frac{1}{2}y-3-11[/tex]
[tex]\frac{1}{3}y=\frac{1}{2}y-14[/tex]
[tex]\frac{1}{3}y-\frac{1}{2}y=\frac{1}{2}y-14-\frac{1}{2}y[/tex]
[tex]-\frac{1}{6}y=-14[/tex]
[tex]\left(-\frac{1}{6}y\right)\left(-6\right)=\left(-14\right)\left(-6\right)[/tex]
[tex]y=84[/tex]
