Question

How do you work out 5/6y-2=8

Answer 1

$\frac{5}{6} y - 2 = 8 \\ \\ \frac{5y}{6} - 2 = 8 \ / \ simplify \\ \\ \frac{5y}{6} = 8 + 2 \ / \ add \ 2 \ to \ each \ side \\ \\ \frac{5y}{6} = 10 \ / \ simplify \\ \\ 5y = 10 \times 6 \ / \ multiply \ each \ side \ by \ 6 \\ \\ 5y = 60 \ / \ simplify \\ \\ y = \frac{60}{5} \ / \ divide \ each \ side \ by \ 5 \\ \\ y = 12 \ / \ simplify$

The final answer is y = 12.

Answer 2

5/6y-2=8
       +2  +2
Add the reciprocal to cancel out the twos andd 8+2=10
so you have left 5/6y=10 and you'll take the reciprocal of 5 divided by 6 times five and cancels the 5/ out and also multiply 10*5 and you're left with 6y=50 then you just divide by six and there you go you have y=12

hope this helped