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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.

Respuesta :

abidemiokin

Answer:

-3x+10y

Step-by-step explanation:

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

[tex]= -4\left(2x-y\right)+y+5\left(x+y\right)[/tex]

Open the parenthesis:

[tex]= -4(2x)-4(-y)+y+5(x)+5(y)\\\\= -8x+4y+y+5x+5y[/tex]

Collect the like terms:

[tex]= -8x+5x+4y+y+5y[/tex]

Sum up the resulting expression

[tex]= -8x+5x+4y+y+5y\\= -3x+10y[/tex]

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

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