Problem 49 - Introductory Algebra for College Students

Question

Simplify each algebraic expression. $$25 y+(-12 y)$$

Step-by-Step Solution

Answer

The simplified form of the given algebraic expression is \(13 y\).

Step 1: Identify Like Terms

From the given problem, we can see that \(25 y\) and \(-12 y\) are like terms since they both contain the variable \(y\). This means, they can be combined.

Step 2: Combine Like Terms

We can combine these like terms by adding or subtracting their coefficients. The sum of the coefficients of \(25\) (from \(25 y\)) and \(-12\) (from \(-12 y\)) is \(13\). Therefore, \(25 y + (-12 y) = 13 y\).

Step 3: Write the Simplified Expression

After combining like terms in step 2, the simplified form of the given expression is \(13 y\). This is our final answer.