Math Problem Statement

Combine the like terms to create an equivalent expression: y - (-3y)

Solution

The image shows a problem asking to combine like terms to create an equivalent expression. The expression provided is:

y(3y)y - (-3y)

To simplify this expression:

  1. Recognize that subtracting a negative number is the same as adding the positive version of that number. So,

y(3y)=y+3yy - (-3y) = y + 3y

  1. Combine the like terms:

y+3y=4yy + 3y = 4y

Thus, the equivalent expression is 4y4y.

Would you like further details on this, or do you have any questions?

Here are 5 related questions you might explore:

  1. How do you combine like terms in more complex expressions?
  2. What happens when you subtract terms with different variables?
  3. How do you factor expressions after combining like terms?
  4. Can you solve for yy when given an equation involving multiple terms like this?
  5. What are some common mistakes when simplifying expressions?

Tip: When simplifying expressions, always look out for negative signs and how they affect the terms being combined.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Combining Like Terms

Formulas

a - (-b) = a + b
Combining like terms: a + b = c

Theorems

Properties of Negative Numbers
Like Terms Simplification

Suitable Grade Level

Grades 6-8