1. **State the problem:** Simplify the expression $$[3x+5y+6z]-[2x+3y+3z]-x-y+2z$$. 2. **Apply the distributive property:** Remove the brackets by distributing the minus signs. $$3x + 5y + 6z - 2x - 3y - 3z - x - y + 2z$$ 3. **Group like terms:** Combine the coefficients of $x$, $y$, and $z$ separately. - For $x$: $$3x - 2x - x = (3 - 2 - 1)x = 0x = 0$$ - For $y$: $$5y - 3y - y = (5 - 3 - 1)y = 1y = y$$ - For $z$: $$6z - 3z + 2z = (6 - 3 + 2)z = 5z$$ 4. **Write the simplified expression:** $$y + 5z$$ **Final answer:** $$y + 5z$$