Answer:
[tex]y=-\dfrac{153}{35}[/tex].
Step-by-step explanation:
The given equation is
[tex]0.15(y-0.2)=2-0.5(1-y)[/tex]
Using distributive property, we get
[tex]0.15(y)+0.15(-0.2)=2-0.5(1)-0.5(-y)[/tex]
[tex]0.15y-0.03=2-0.5+0.5y[/tex]
[tex]0.15y-0.03=1.5+0.5y[/tex]
Isolate variable terms.
[tex]0.15y-0.5y=1.5+0.03[/tex]
[tex]-0.35y=1.53[/tex]
Divide both sides by -0.35.
[tex]y=\dfrac{1.53}{-0.35}[/tex]
[tex]y=-\dfrac{1.53}{0.35}\times \dfrac{100}{100}[/tex]
[tex]y=-\dfrac{153}{35}[/tex]
Therefore, [tex]y=-\dfrac{153}{35}[/tex].
