Question

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

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:

$\textcolor{red}{2} \left(- x - 3 y + 1\right) + \textcolor{b l u e}{3} \left(2 x + y - 4\right)$

$- \left(\textcolor{red}{2} \times x\right) - \left(\textcolor{red}{2} \times 3 y\right) + \left(\textcolor{red}{2} \times 1\right) + \left(\textcolor{b l u e}{3} \times 2 x\right) + \left(\textcolor{b l u e}{3} \times y\right) - \left(\textcolor{b l u e}{3} \times 4\right)$

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

Now, group and then combine like terms:

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

$\left(- 2 + 6\right) x + \left(- 6 + 3\right) y - 10$

$4 x - 3 y - 10$

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