b) \( 2 b x-3 a y-6 b y+a x= \)

To solve the expression \( 2 b x - 3 a y - 6 b y + a x \), we can group the like terms together. Reorganizing the equation gives us \( (2b + a)x + (-3a - 6b)y \). This makes it easier to interpret, and you can clearly see how each variable interacts with the coefficients. Now you can further factor or use this expression in various contexts, like modeling or when working with systems of equations. It can be very handy in applications like economics or physics, where manipulating variables is key! Understanding such expressions is pivotal in algebra, often appearing in various real-life situations like budgeting or analyzing trends. You could also explore how this relates to vectors, where coefficients represent magnitudes in specific directions, enhancing your skill set and mathematical toolkit!