7(1-y)=-2(y-2)

Solution for 7(1-y)=-2(y-2) equation:

7(1-y)=-2(y-2)

We move all terms to the left:

7(1-y)-(-2(y-2))=0

We add all the numbers together, and all the variables

7(-1y+1)-(-2(y-2))=0

We multiply parentheses

-7y-(-2(y-2))+7=0


We calculate terms in parentheses: -(-2(y-2)), so:

-2(y-2)

We multiply parentheses

-2y+4

Back to the equation:

-(-2y+4)


We get rid of parentheses

-7y+2y-4+7=0

We add all the numbers together, and all the variables

-5y+3=0

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

-5y=-3

y=-3/-5

y=3/5