Question

0.15(y-0.2)=2-0.5(1-y) The answer is -153/35 I just need to know how to get that

Answer 1

Answer:

$y=-\dfrac{153}{35}$.

Step-by-step explanation:

The given equation is

$0.15(y-0.2)=2-0.5(1-y)$

Using distributive property, we get

$0.15(y)+0.15(-0.2)=2-0.5(1)-0.5(-y)$

$0.15y-0.03=2-0.5+0.5y$

$0.15y-0.03=1.5+0.5y$

Isolate variable terms.

$0.15y-0.5y=1.5+0.03$

$-0.35y=1.53$

Divide both sides by -0.35.

$y=\dfrac{1.53}{-0.35}$

$y=-\dfrac{1.53}{0.35}\times \dfrac{100}{100}$

$y=-\dfrac{153}{35}$

Therefore, $y=-\dfrac{153}{35}$.