Multiply. \[ (6 w-y)(3 w-y+2) \] Simplify your answer.

To multiply the expression \( (6w - y)(3w - y + 2) \), we can use the distributive property. We will distribute each term in the first expression, \( 6w - y \), with each term in the second expression \( 3w - y + 2 \). 1. Distributing \( 6w \): \[ 6w \cdot 3w = 18w^2 \] \[ 6w \cdot (-y) = -6wy \] \[ 6w \cdot 2 = 12w \] 2. Distributing \( -y \): \[ -y \cdot 3w = -3wy \] \[ -y \cdot (-y) = y^2 \] \[ -y \cdot 2 = -2y \] Now, combine all the terms: \[ 18w^2 + (-6wy - 3wy) + 12w + y^2 - 2y \] This simplifies to: \[ 18w^2 - 9wy + 12w + y^2 - 2y \] Thus, the simplified expression is: \[ \boxed{18w^2 - 9wy + 12w + y^2 - 2y} \]