Question

Simplify by combining like terms: -4\left(2x-y\right)+y+5\left(x+y\right)−4(2−)++5(+) − 4 ( 2 x − y ) + y + 5 ( x + y ) ; use NO spaces when typing in your answers.

Answer 1

-3x+10y

Explanation:

Given the expression
`-4\left(2x-y\right)+y+5\left(x+y\right)`, we are to simplify by combining the like terms. On simplification we have;

`= -4\left(2x-y\right)+y+5\left(x+y\right)`

Open the parenthesis:

`= -4(2x)-4(-y)+y+5(x)+5(y)\\\\= -8x+4y+y+5x+5y`

Collect the like terms:

`= -8x+5x+4y+y+5y`

Sum up the resulting expression

`= -8x+5x+4y+y+5y\\= -3x+10y`

Hence the required expression on simplification is -3x+10y