Question

How do you solve `8y + 26= - 2( y + 2)`?

Answer 1

`y = -3`.

Explanation:

We have,

`color(white)(xxx)8y + 26 = -2(y + 2)`

`rArr 8y + 26 = -2y - 4`

[Just use the distributive property to simplify the R.H.S]

`rArr 8y + 2y + 26 = cancel(-2y) - 4 cancel(+2y)` [Add `2y` to both sides.]

`rArr 10y + 26 = -4`

`rArr 10y cancel(+ 26) cancel(- 26) = -4 - 26` [Subtract `26` from both sides]

`rArr 10y = -30`

`rArr y = -30/10` [Divide both sides by `10`]

`rArr y = -3`

Hence Explained.