Answer:
The simplified expression is:
[tex]\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)=0.2y+0.2x-8[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]
[tex]=\frac{2}{5}y+\frac{1}{5}x-0.2y-6-2[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=\frac{2}{5}y-0.2y+\frac{1}{5}x-6-2[/tex]
Add similar elements
[tex]=0.2y+\frac{1}{5}x-6-2[/tex]
[tex]=0.2y+\frac{x}{5}-6-2[/tex]
[tex]=0.2y+\frac{x}{5}-8[/tex]
[tex]=0.2y+0.2x-8[/tex]
Thus, the simplified expression is:
[tex]\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)=0.2y+0.2x-8[/tex]
