answer: y = 7
[tex]\frac{2}{7}y-5=-3[/tex]
[tex]\frac{2}{7}y=-3+5[/tex]
[tex]\frac{2}{7}y=2[/tex]
[tex]y=2(\frac{7}{2})[/tex]
[tex]y=\frac{14}{2}[/tex]
[tex]y = 7[/tex]
plug the value of [tex]y[/tex] in the equation to make sure of the answer:
[tex]\frac{2}{7}y-5=-3[/tex]
[tex]\frac{2}{7}(7)-5=-3[/tex]
[tex]\frac{14}{7}-5=-3[/tex]
[tex]2-5=-3[/tex]
[tex]-3 =-3[/tex]