Start with the given expression:
[tex]\frac{4x+6y}{2y}=8[/tex]
We want [tex]y[/tex] so lets isolate it. Start by multiplying both sides by [tex]2y[/tex]:
[tex]4x+6y=16y[/tex]
And then group similar terms:
[tex]4x=10y[/tex]
Now we can substitute our know value of [tex]x=5[/tex]:
[tex]4(5)=10y[/tex]
And then solve for [tex]y[/tex]:
[tex]4(5)=10y[/tex]
[tex]20=10y[/tex]
[tex]\frac{20}{10}=y[/tex]
[tex]y=2[/tex]
