7(4+2y)-(6-5y)

Answer 1

To simplify the expression \( 7(4 + 2y) - (6 - 5y) \), follow these steps:

1. Distribute the \( 7 \) across the terms inside the first parentheses: \[ 7 \cdot 4 + 7 \cdot 2y = 28 + 14y \]

2. Distribute the negative sign across the terms in the second parentheses: \[

   • (6 - 5y) = -6 + 5y \]

3. Now, combine all the parts: \[ 28 + 14y - 6 + 5y \]

4. Combine the constant terms and the like terms (the terms with \( y \)): \[ (28 - 6) + (14y + 5y) = 22 + 19y \]

Therefore, the simplified expression is: \[ \boxed{22 + 19y} \]