Subjects algebra

Simplify Expression 79Ed51

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1. **State the problem:** Simplify the expression $(8x+7y-5)-(5xy+y-3x)$. 2. **Apply the distributive property:** Remove the parentheses by distributing the minus sign to each term in the second group: $$8x + 7y - 5 - 5xy - y + 3x$$ 3. **Combine like terms:** Group terms with the same variables: - For $x$: $8x + 3x = 11x$ - For $y$: $7y - y = 6y$ - For $xy$: $-5xy$ (no like terms) - Constants: $-5$ 4. **Write the simplified expression:** $$11x + 6y - 5xy - 5$$ This is the simplified form of the original expression.