1. **Problem statement:** Simplify the expression $3 - 6x + y - 2 + 5y - 2x$. 2. **Step 1: Group like terms.** Group the $x$ terms, the $y$ terms, and the constants separately: $$ ( -6x - 2x ) + ( y + 5y ) + ( 3 - 2 ) $$ 3. **Step 2: Simplify each group.** $$ -6x - 2x = -8x $$ $$ y + 5y = 6y $$ $$ 3 - 2 = 1 $$ 4. **Step 3: Combine the simplified terms.** $$ -8x + 6y + 1 $$ 5. **Step 4: Write the expression in standard form.** $$ -8x + 6y + 1 $$ 6. **Step 5: Compare with given options.** The expression matches none of the options exactly, but if we factor out a negative sign: $$ -8x + 6y + 1 = -(8x - 6y - 1) $$ Option C is $8x - 6y - 1$, which is the negative of our expression. **Final answer:** The simplified expression is $$-8x + 6y + 1$$ which corresponds to the negative of option C. Since the problem asks for the simplest form, the answer is $$-8x + 6y + 1$$.