Question

How do you solve `12-9 (y+5)= -(1-y)`?

Answer 1

`-16/5=y`

Explanation:

`12-9(y+5) = -(1-y)`

Start by distributing both the -9 (left side) and the - (right side).

`12-9y-45=-1+y`

Rearrange the equation so that there's numbers one side, and letters on the other. For this equation, I moved the numbers onto the left side of the equation, and the letters onto the right side. Make sure that you change their operation(s) when you move them (positive to negative, or negative to positive).

`12-45+1=y+9y`

Simplify/solve both sides.

`(-32)/10=(10y)/10`

To get y by itself, you must divide 10y by 10, and do the same thing to the left side.

`-32/10=y`

Simplify.

`-16/5=y`