Verified Answer :

ayah1

0.5 = 0.4y - 0.25x                               (add 0.25x to each side)

0.2x + 0.5 = 0.4y - 0.2x + 0.2x

0.2x + 0.5 = 0.4y                               (divide 0.4 from each side)

\(\frac{0.25x+0.5}{0.4} = \frac{0.4y}{0.4}\)

0.25x/0.4 + 0.5/0.4 = y

0.625x + 1.25 = y

Answer:

The value of the equation is \(y=\frac{5}{4}+\frac{5x}{8}\).

Step-by-step explanation:

Consider the provided equation.

\(0.5=0.4y-0.25x\)

We need to solve the provided equation for y.

Add 0.25x both side.  

\(0.5+0.25x=0.4y-0.25x+0.25x\)

\(0.5+0.25x=0.4y\)

\(0.4y=0.5+0.25x\)

Divide both sides by 0.4.

\(\frac{0.4y}{0.4}=\frac{0.5+0.25x}{0.4}\)

\(y=\frac{0.5}{0.4}+\frac{0.25x}{0.4}\)

\(y=\frac{5}{4}+\frac{25x}{40}\)

\(y=\frac{5}{4}+\frac{5x}{8}\)

Hence, the value of the equation is \(y=\frac{5}{4}+\frac{5x}{8}\).