Question

How do you solve `-12= 3( y + 5)`?

Answer 1

y = -9

Explanation:

First distribute the "3" to everything inside of the parentheses
-12 = 3y + 15

Then combine like terms by subtracting both sides by 15
-12 - 15 = 3y + 15 - 15
-27 = 3y

Now divide both sides by 3, in order to isolate the variable
`-27/3` = `3y/3`

-9 = y

Hope this made sense

Answer 2

`y=-9`

Explanation:

Solve:

`-12=3(y+5)`

Expand the right-hand side using the distributive property: `a(b+c)=ab+ac`.

`-12=3y+15`

Subtract `15` from both sides.

`-15-12=3y color(red)cancel(color(black)(+15))color(red)cancel(color(black)(-15))`

Simplify.

`-27=3y`

Divide both sides by `3`.

`(-27)/3=(color(red)cancel(color(black)(3))y)/color(red)cancel(color(black)(3))`

Simplify.

`-9=y`

Switch sides.

`y=-9`