Simplify 22(0.5x+y)-2(0.5x+y)

$22 (0.5 x + y) - 2 (0.5 x + y)$

Step 1

Simplify each term.

Apply the distributive property.

$22 (0.5 x) + 22 y - 2 (0.5 x + y)$

Multiply $0.5$ by $22$ .

$11 x + 22 y - 2 (0.5 x + y)$

Apply the distributive property.

$11 x + 22 y - 2 (0.5 x) - 2 y$

Multiply $0.5$ by $- 2$ .

$11 x + 22 y - 1 x - 2 y$

Rewrite $- 1 x$ as $- x$ .

$11 x + 22 y - x - 2 y$

$11 x + 22 y - x - 2 y$

Step 2

Simplify by adding terms.

Subtract $x$ from $11 x$ .

$10 x + 22 y - 2 y$

Subtract $2 y$ from $22 y$ .

$10 x + 20 y$

$10 x + 20 y$

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