Simplify this algebraic expression completely.

Option 4

Step-by-step explanation:

=> 8y-2(y+4)

=> 8y-2y-8

=> 6y-8

The last option, D.

Step-by-step explanation:

Alright, so we are given this expression that is not simplified. First, we need to apply the distributive property. Since it is -2(y+4) or -2 times y plus 4.

We need to multiply -2 by each term inside the parentheses.

-2 times y is -2y and -2 times 4 is -8.

Remember, a positive times a negative is always negative.

Now we have 8y-2y-8.

We can simplify this even more by combining like terms.

8y and 2y are like terms because they have the same variable stuck to it. 8y-2y is 6y.

We can't combine like terms with -8 because -8 doesn't even have a variable. It is not coefficient, it is just a constant.

Therefore, the simplified algebraic expression is 6y-8.

Hope this helps!