Simplifying Algebraic Expressions: 4y-15+4y-15+7y
Algebraic expressions are a fundamental concept in mathematics, and simplifying them is an essential skill to master. In this article, we will explore how to simplify the expression 4y-15+4y-15+7y.
The Given Expression
The expression we want to simplify is:
4y - 15 + 4y - 15 + 7y
Step 1: Combine Like Terms
To simplify the expression, we need to combine like terms. Like terms are terms that have the same variable (in this case, y) and coefficient.
The like terms in the expression are:
- 4y and 4y (both have a coefficient of 4 and variable y)
- 7y (has a coefficient of 7 and variable y)
We can combine these like terms as follows:
4y + 4y = 8y 8y + 7y = 15y
So, the expression becomes:
15y - 15 - 15 + ??
Step 2: Combine Constant Terms
Now, let's focus on the constant terms:
-15 - 15 = -30
Step 3: Write the Simplified Expression
Finally, we can write the simplified expression by combining the variable term and the constant term:
15y - 30
And that's it! We have successfully simplified the expression 4y-15+4y-15+7y to 15y - 30.
Conclusion
Simplifying algebraic expressions is a crucial skill in mathematics, and it requires attention to detail and patience. By following the steps outlined in this article, you can simplify expressions like 4y-15+4y-15+7y with ease. Remember to combine like terms and constant terms separately, and you'll be on your way to becoming a master of algebraic expressions!
