(12x+7y)+(3y-2x)

To simplify the expression \((12x + 7y) + (3y - 2x)\), you should combine like terms. 1. Start by listing all the \(x\) terms and all the \(y\) terms: - \(12x - 2x\) for the \(x\) terms - \(7y + 3y\) for the \(y\) terms 2. Now combine them: - \(12x - 2x = 10x\) - \(7y + 3y = 10y\) 3. So, the simplified expression is: \[ 10x + 10y \] You can also factor it if needed: \[ 10(x + y) \] Thus, the final result is: \[ 10x + 10y \quad \text{or} \quad 10(x + y) \]