Question

how do you solve step by step?

Answer 1

$\bf 3y=\cfrac{8-12y}{4}+2\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{12y=8-12y+8} \\\\\\ 12y=-12y+16\implies 24y=16\implies y=\cfrac{16}{24}\implies y=\cfrac{2}{3}$

if you wonder why we multiplied by the LCD of 4, is just to do away with the denominators.

Answer 2

Firstly, subtract 2 on both sides of the equation: $3y-2=\frac{8-12y}{4}$

Next, multiply both sides by 4: $12y-8=8-12y$

Next, add both sides by 12y: $24y-8=8$

Next, add both sides by 8: $24y=16$

Lastly, divide both sides by 24 and your answer will be $y=\frac{16}{24}=\frac{2}{3}$