simplify the following expression x+4(y+8x) Write the property that justifies each step

x+4(y+8x)

x + 4y + 32x

4y + 33x

Ms. Sue did it exactly the way I was going to it- great job! Good luck Bryan!

To simplify the expression x + 4(y + 8x), let's follow the steps:

Step 1: Distribute the 4 into the parentheses.
x + 4y + 32x

The property used here is the Distributive Property, which states that when a number is multiplied by a sum in parentheses, it can be distributed or multiplied to each term inside the parentheses.

Step 2: Combine like terms.
x + 32x + 4y

The property used here is the Commutative Property of Addition, which states that the order of adding numbers does not affect the result.

Step 3: Simplify further if possible.
(1 + 32)x + 4y
33x + 4y

The property used here is the Associative Property of Multiplication, which states that the grouping of factors does not affect their product.

Therefore, the simplified expression is 33x + 4y.