Question

How do you simplify `2(-x-3y+1)+3(2x+y-4)`?

Answer 1

See the entire simplification process below:

Explanation:

First, expand the terms in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis. Be careful to handle the signs of the individual terms correctly:

`color(red)(2)(-x - 3y + 1) + color(blue)(3)(2x + y - 4)`

`-(color(red)(2) xx x) - (color(red)(2) xx 3y) + (color(red)(2) xx 1) + (color(blue)(3) xx 2x) + (color(blue)(3) xx y) - (color(blue)(3) xx 4)`

`-2x - 6y + 2 + 6x + 3y - 12`

Now, group and then combine like terms:

`-2x + 6x - 6y + 3y + 2 - 12`

`(-2 + 6)x + (-6 + 3)y - 10`

`4x - 3y - 10`