Question

What is the simplified expression for `9y+8+(-3x) +(-2y)-4x`?

Answer 1

`7y - 7x + 8`

Explanation:

`9y + 8 + (-3x) + (-2y) - 4x`

`9y + 8 - 3x - 2y - 4x`

Now let's color code the like terms:
`color(red)(9y) + color(magenta)8 quadcolor(blue)(-quad3x) quadcolor(red)(-quad2y) quadcolor(blue)(-quad4x)`

Combine like terms:
`color(red)(7y)quad + quadcolor(magenta)8 quadcolor(blue)(-quad7x)`

We typically put the variables before the numbers, so the simplified expression is:
`7y - 7x + 8`

Hope this helps!