Simplify the following algebraic expression: 12 - 3(2y - 4) Which expression represents th… — Armed Services Vocational Aptitude Battery (ASVAB)

Simplify the following algebraic expression:

12 - 3(2y - 4)

Which expression represents the fully simplified result?

The correct simplified expression is

-6y + 24

The expression is correctly simplified by first distributing the

-3

across the terms in the parentheses, which results in

-6y + 12

. Adding the initial

12

to this new constant gives a final expression of

-6y + 24

Distribute the

-3

to both terms inside the parentheses.

12 - 6y + 12

The distributive property requires multiplying the term immediately outside the parentheses by each term inside.

Combine the constant terms.

-6y + 24

Like terms (the constants

12

and

12

) must be added together to fully simplify the expression.

Distributive Property and Combining Like Terms

Soru