Simplifying Examples

What's the fully simplified version of 4(x + y) – 3(2x + 7y)?

Use the distributive property on each term to get:

4x + 4y – 6x – 21y

Then combine like terms to get:

-2x – 17y

What's the fully simplified version of 3[x + y(x – 2) + 4y]?

3[x + yx – 2y + 4y] =

3[x + yx + 2y] =

3x + 3yx + 6y