Simplifying Algebraic Expressions: 5(2y-4)-3(2y+5x)+8
In algebra, simplifying expressions is an essential skill to master. It involves combining like terms and eliminating any parentheses or other grouping symbols. In this article, we will simplify the algebraic expression 5(2y-4)-3(2y+5x)+8 step by step.
Step 1: Evaluate the Expressions Inside the Parentheses
First, we need to evaluate the expressions inside the parentheses:
- 5(2y-4) = 5(2y) - 5(4) = 10y - 20
- -3(2y+5x) = -3(2y) - 3(5x) = -6y - 15x
Now, we can rewrite the original expression as:
10y - 20 - 6y - 15x + 8
Step 2: Combine Like Terms
Next, we combine like terms:
- Combine the y terms: 10y - 6y = 4y
- Combine the constant terms: -20 + 8 = -12
So, the simplified expression is:
4y - 15x - 12
Conclusion
Simplifying algebraic expressions involves evaluating the expressions inside parentheses and combining like terms. By following these steps, we can simplify the expression 5(2y-4)-3(2y+5x)+8 to 4y - 15x - 12.
