[tex]\frac{9}{14}y=\frac{3}{7}[/tex] You need to isolate/get "y" by itself in the equation, so multiply the inverse of [tex]\frac{9}{14}[/tex] on both sides of the equation to get rid of the fraction and get "y" by itself:
[tex]\frac{9}{14}y=\frac{3}{7}[/tex] Multiply the inverse of [tex]\frac{9}{14}[/tex], which is [tex]\frac{14}{9}[/tex]
[tex](\frac{14}{9})\frac{9}{14} y=\frac{3}{7}(\frac{14}{9})[/tex]
[tex]y=\frac{3(14)}{7(9)}[/tex]
[tex]y=\frac{42}{63}[/tex] Simplify
[tex]y=\frac{2}{3}[/tex]
