# How do you simplify 4.3x (a+b) - 2.1y (a+c) - 1.5x (a+b) + 5.4y (a+c)?

May 26, 2017

See a solution process below:

#### Explanation:

First, group like terms:

$4.3 x \left(a + b\right) - 1.5 x \left(a + b\right) - 2.1 y \left(a + c\right) + 5.4 y \left(a + c\right)$

Next, factor and combine the like terms:

$\left(4.3 x - 1.5 x\right) \left(a + b\right) + \left(- 2.1 y + 5.4 y\right) \left(a + c\right) \implies$

$2.8 x \left(a + b\right) + 3.3 y \left(a + c\right)$
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