To solve the equation \(-3xy + 4xy = xy\), follow these steps:

1. **Combine like terms**: Notice that both terms on the left-hand side of the equation involve the variable \(xy\). This means they are "like terms" and can be combined by adding or subtracting the coefficients (numbers in front of the \(xy\)).

   \[
   (-3 + 4)xy = xy
   \]

2. **Simplify the coefficients**: Combine the coefficients \(-3\) and \(4\):

   \[
   (1)xy = xy
   \]

   This simplifies to:

   \[
   xy = xy
   \]

So, after combining the like terms, the result is simply \(xy = xy\). This equation is an identity, meaning it holds true for any value of \(x\) and \(y\), as long as neither \(x\) nor \(y\) is zero.

### Summary:
The process involved combining like terms with the variable \(xy\) and simplifying the coefficients. In this case, the sum of \(-3\) and \(4\) resulted in \(1\), leaving \(xy\) on both sides of the equation.

Would you like more details or have any questions?

Here are 5 related questions for practice:
1. How would you solve \(2xy - 5xy = -3xy\)?
2. What happens if you add \(3xy + 2xy + xy\)?
3. Can you combine terms like \(2x^2y - 5xy\)? Why or why not?
4. If \(3x + 4y = 7\), can you simplify the equation any further?
5. How do you factor \(xy(x - y) + xy(y - x)\)?

**Tip:** When combining like terms, always make sure the variables and their powers are the same before adding or subtracting the coefficients.

This page explains how to solve the equation -3xy + 4xy = xy by combining like terms and simplifying the expression. A step-by-step guide is provided, suitable for students in Grades 6-8 learning basic algebra concepts such as combining like terms in an equation.

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