Answer:
[tex]-0.8x + 4.8y + 16[/tex]
Step-by-step explanation:
We have to simplify the given expression:
[tex]4(0.5x + 2.5y-0.7x-1.3y+4)[/tex]
First we group all the like terms of x.
[tex]4((0.5x-0.7x) + 2.5y-1.3y+4))\\=4(-0.2x+ 2.5y-1.3y+4)[/tex]
Next we group all the like terms of y.
[tex]4(-0.2x+ (2.5y-1.3y)+4)\\=4(-0.2x+1.2y+4)[/tex]
Now, we use distributive property for the multiplication,
[tex]4(-0.2x+1.2y+4)\\=(4\times -0.2x) + (4\times 1.2y) + (4\times 4)\\=-0.8x + 4.8y + 16[/tex]
is the required simplified expression.
