2(y-6)=3(4-y)-y

Solution for 2(y-6)=3(4-y)-y equation:

2(y-6)=3(4-y)-y

We move all terms to the left:

2(y-6)-(3(4-y)-y)=0

We add all the numbers together, and all the variables

2(y-6)-(3(-1y+4)-y)=0

We multiply parentheses

2y-(3(-1y+4)-y)-12=0


We calculate terms in parentheses: -(3(-1y+4)-y), so:

3(-1y+4)-y

We add all the numbers together, and all the variables

-1y+3(-1y+4)

We multiply parentheses

-1y-3y+12

We add all the numbers together, and all the variables

-4y+12

Back to the equation:

-(-4y+12)


We get rid of parentheses

2y+4y-12-12=0

We add all the numbers together, and all the variables

6y-24=0

We move all terms containing y to the left, all other terms to the right

6y=24

y=24/6

y=4