Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Identify Like Terms
- Terms with y: $$2y$$ and $$4y
Like terms are terms that have the same variable raised to the same power. In this expression, we have:
Step 3:: Combine Like Terms with x
7x + (-3x) = (7-3)x = 4x
Add the coefficients of x terms:
Step 4:: Combine Like Terms with y
2y + 4y = (2+4)y = 6y
Add the coefficients of y terms:
Step 5:: Write the Simplified Expression
4x + 6y
Combine the simplified x and y terms:
Final Answer
Key Insights: - Combining like terms involves adding the coefficients of terms with the same variable - The order of terms doesn't matter in the final simplified expression - Always look for terms with the same variable and combine them by adding their coefficients
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