Question
Here is the question : HOW DO YOU SIMPLIFY 8Y – 2 – 3(Y – 4)?
Option
Here is the option for the question :
- 5y + 10
- 6y + 12
- 7y + 14
- 8y + 16
The Answer:
And, the answer for the the question is :
Explanation:
In order to make this equation easier to understand, we will begin by multiplying the y and the 4 that are included between the parentheses by 3. After carrying out these steps, you will be left with the expression 8y – 2 – 3y + 12, as the product of two negative numbers is a positive number. You will have 5y plus 10 after taking away 3y from 8y, which will leave you with 5y. Then, take away 2y from 12y, which will give you 10.
In mathematics, simplifying expressions is a fundamental skill that is used in many different areas of study, including algebra, calculus, and physics. One common type of expression that requires simplification is one that contains variables and constants, such as 8y – 2 – 3(y – 4). To simplify this expression, we need to use the distributive property and combine like terms.
The distributive property states that when we multiply a number by a sum or difference, we can distribute the multiplication over each term in the sum or difference. In the expression 8y – 2 – 3(y – 4), we can use the distributive property to simplify the expression as follows:
8y – 2 – 3(y – 4) = 8y – 2 – 3y + 12
Notice that when we distribute the -3 over (y – 4), we change the sign of each term inside the parentheses. This is because we are essentially multiplying -3 by each term inside the parentheses, and when we multiply a negative number by a positive number, the result is negative.
Now that we have distributed the -3, we can combine like terms to simplify the expression further:
8y – 2 – 3y + 12 = 5y + 10
Therefore, the simplified form of 8y – 2 – 3(y – 4) is 5y + 10.
Simplifying expressions is an essential skill that is used in many areas of mathematics. By using the distributive property and combining like terms, we can simplify complex expressions and make them easier to work with. these techniques are also used in factoring, solving equations, and many other areas of mathematics.