Question

How do you solve `3( y - 5) - 7= - 7( - 4y + 4) - 9y`?

Answer 1

`y=3/8`

Explanation:

Start on one side of the equation and combine any like terms. But first to do so, you have to distribute.

Starting on the left side of the equation, distribute `3` throughout the set of parenthesis

`3y-15-7`

Now, you can combine `-15-7`

`-15-7=-22`

So, the left side now looks like: `3y-22=`

Next, move to the right side of the equation and distribute `-7` throughout the set of parenthesis

`28y-28-9y`

Combine like terms

`19y-28`

The full equation now looks like this:
`3y-22=19y-28`

To finish off, isolate `y` by adding `22` on both sides of the equation

`3y=19y-6`

Subtract `19y` from both sides of the equation

`-16y=-6`

Divide by `16` to isolate y
`y=3/8`