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8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16

Step-by-step explanation:

The outer rectangle has width 8 and length 3y + 2.

The area of the outer rectangle is length times width or width times length, so the area is 8(3y + 2).

We can also find the area by finding the area of each small rectangle, and adding the areas together.

The left small rectangle has dimensions 8 and 3y.

A1 = WL = 8 * 3y = 24y

The right small rectangle has dimensions 8 and 2.

A2 = WL = 8 * 2 = 16

The total area of both small rectangles is 24y + 16

That tells use that

8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16

This is the distributive property at work.