Solve the equation: ((x-1) * (18-y)) = (x+3) * (16-y)

1. Expand both sides of the equation: 18x - xy - 18 + y = 16x - xy + 48 - 3y.
2. Simplify by canceling -xy from both sides and rearranging terms: 18x - 18 + y = 16x + 48 - 3y.
3. Isolate x terms on one side and y terms on the other: 18x - 16x = 48 + 18 - 3y - y.
4. Combine like terms: 2x = 66 - 4y.
5. Solve for x: x = 33 - 2y.