-(4y-8).jpeg "(2y+15z)-(4y-8)")
Simplifying Algebraic Expressions: (2y+15z)-(4y-8)
Algebraic expressions can be intimidating, but with the right approach, they can be simplified to reveal their underlying structure. In this article, we'll explore the simplification of the expression (2y+15z)-(4y-8).
Step 1: Follow the Order of Operations
To simplify the expression, we need to follow the order of operations (PEMDAS):
- Evaluate the expressions inside the parentheses.
- Combine like terms.
Step 2: Evaluate the Expressions Inside the Parentheses
Let's evaluate the expressions inside the parentheses:
(2y+15z) = 2y + 15z (no change)
(4y-8) = 4y - 8 (no change)
Step 3: Combine Like Terms
Now, let's combine the two expressions:
(2y+15z) - (4y-8)
To combine like terms, we'll subtract the two expressions:
= 2y + 15z - 4y + 8
Step 4: Simplify the Expression
Combine like terms:
= -2y + 15z + 8
And that's it! We've successfully simplified the expression (2y+15z)-(4y-8) to -2y + 15z + 8.
Conclusion
Simplifying algebraic expressions can be a daunting task, but by following the order of operations and combining like terms, we can reveal the underlying structure of the expression. In this case, we've simplified the expression (2y+15z)-(4y-8) to -2y + 15z + 8.
