Combine like terms and simplify expressions while preserving structure.
Preserve unlike terms while simplifying
Problem
Simplify the expression: \(4x~+~3y~-~2x~+~5~-~y\)
Big Picture
What this problem is really about
Classify terms by their complete variable part: x-terms combine only with x-terms, y-terms only with y-terms, and the constant remains separate. Keep the subtraction signs attached, including the understood coefficient of one on y. After simplifying each group, preserve all three unlike pieces.
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