To combine like terms means that we must perform the indicated operations in order to simplify an expression or solve an equation.
We begin with the expression:
10y+1x-4y+4x
First, we are going to combine the x terms. To do this, we use simple addition, similarly to if the variable x wasn’t there. We get:
10y-4y+5x
Next we are going to do the same thing with the y terms.
6y-5x
Because there are no more like terms left to combine, this is the most simplified answer that you can achieve for this question.
Hope this helps!