4y-7+2y=-3(y+1)-1
move all terms to the left:
4y-7+2y-(-3(y+1)-1)=0
add all the numbers together, and all the variables
6y-(-3(y+1)-1)-7=0
calculate terms in parentheses: -(-3(y+1)-1), so:
-3(y+1)-1
We multiply parentheses
-3y-3-1
Add all the numbers together, and all the variables
-3y-4
Back to the equation:
-(-3y-4)
get rid of parentheses
6y+3y+4-7=0
add all the numbers together, and all the variables
9y-3=0
move all terms containing y to the left, all other terms to the right
9y=3
y=3/9
y=1/3