Sure! Let's simplify the given expression step by step:
Given expression:
[tex]\[ 3(4x - 5y) + 2y \][/tex]
### Step 1: Distribute the 3 across the terms inside the parentheses
Distributing the 3:
[tex]\[ 3 \times 4x - 3 \times 5y + 2y \][/tex]
### Step 2: Simplify the expressions inside the parentheses
[tex]\[ 12x - 15y + 2y \][/tex]
### Step 3: Combine like terms (terms with [tex]\( y \)[/tex])
[tex]\[ 12x - 15y + 2y = 12x - 13y \][/tex]
So, the simplified expression is:
[tex]\[ 12x - 13y \][/tex]
Therefore, the correct answer is:
[tex]\[ 12x - 13y \][/tex]
So, the choice that matches this simplified expression from the given options is:
[tex]\[ \boxed{12x - 13y} \][/tex]
