Simplify 4x+1/4(16x-20y)

$4 x + \frac{1}{4} (16 x - 20 y)$

Step 1

Simplify each term.

Apply the distributive property.

$4 x + \frac{1}{4} (16 x) + \frac{1}{4} (- 20 y)$

Cancel the common factor of $4$ .

Factor $4$ out of $16 x$ .

$4 x + \frac{1}{4} (4 (4 x)) + \frac{1}{4} (- 20 y)$

Cancel the common factor.

$4 x + \frac{1}{4} (4 (4 x)) + \frac{1}{4} (- 20 y)$

Rewrite the expression.

$4 x + 4 x + \frac{1}{4} (- 20 y)$

Cancel the common factor of $4$ .

Factor $4$ out of $- 20 y$ .

$4 x + 4 x + \frac{1}{4} (4 (- 5 y))$

Cancel the common factor.

$4 x + 4 x + \frac{1}{4} (4 (- 5 y))$

Rewrite the expression.

$4 x + 4 x - 5 y$

Step 2

Add $4 x$ and $4 x$ .

$8 x - 5 y$