Question

Which expression is the simplest form -(4x+y)+2(x-3y)

Answer 1

Answer:

-2x-7y

Step-by-step explanation:

We have the expression -(4x+y)+2(x-3y) and we have to simplify it:

Observation: -(4x+y)=(-1)(4x+y)

We have to use distributive property this is: $a(x+y)=ax+ay$

Then,

$(-1)(4x+y)+2(x-3y)=\\(-1).4x+(-1).y+(2).x+(2).(-3y)=\\=-4x-y+2x-6y$

Ordering:

$-4x-y+2x-6y=\\-4x+2x-y-6y=\\=-2x-7y$

Then the simplest form of  -(4x+y)+2(x-3y) is -2x-7y

Answer 2

Answer:

- 2x - 7y

Step-by-step explanation:

Given

- (4x + y) + 2(x - 3y)

Distribute both parenthesis, noting that the first is distributed by - 1

= - 4x - y + 2x - 6y ← collect like terms

= (- 4x + 2x) + (- y - 6y )

= - 2x + (- 7y) = - 2x - 7y