Question

Simplify.
7y + 3(2-y) + 6y
O-8y
O 10y
O 16y +6
O 10y + 6

Answer 1

10y + 6.

Explanation:

For this problem, we are asked to simplify 7y + 3(2-y) + 6y.

First, let's review the Distributive Property as it will be used for this equation.

What is the Distributive Property?

The Distributive Property is a property that allows us to distribute, or multiply a number into values inside the parenthesis.

We should begin by distributing the 3 into values inside the parenthesis.

Distribute:

`7y + 3(2-y) + 6y\\3 * 2 = 6\\3 * -y = -3y`

Now, we should have:

`7y + 6 - 3y + 6y`

Next, we should combine like terms.

What is Combining Like Terms?

Combining like terms is adding 2 or more terms that are alike.

For example, 7y and 6y are like terms as they have numerical coefficients with the same variables.

Combine Like Terms:

`7y + 6 - 3y + 6y`

`10y+6`

Our final answer is 10y + 6.

Answer 2

10y+6

Explanation:

7y+3(2-y)+6y

7y+6-3y+6y

4y+6y+6

-> 10y+6 is the required equation.