Solve for y 0.5=0.4y-0.25x

$0.5 = 0.4 y - 0.25 x$

Rewrite the equation as $0.4 y - 0.25 x = 0.5$ .

$0.4 y - 0.25 x = 0.5$

Add $0.25 x$ to both sides of the equation.

$0.4 y = 0.5 + 0.25 x$

Divide each term in $0.4 y = 0.5 + 0.25 x$ by $0.4$ and simplify.

Divide each term in $0.4 y = 0.5 + 0.25 x$ by $0.4$ .

$\frac{0.4 y}{0.4} = \frac{0.5}{0.4} + \frac{0.25 x}{0.4}$

Simplify the left side.

Cancel the common factor of $0.4$ .

Cancel the common factor.

$\frac{0.4 y}{0.4} = \frac{0.5}{0.4} + \frac{0.25 x}{0.4}$

Divide $y$ by $1$ .

$y = \frac{0.5}{0.4} + \frac{0.25 x}{0.4}$

Simplify the right side.

Simplify each term.

Divide $0.5$ by $0.4$ .

$y = 1.25 + \frac{0.25 x}{0.4}$

Factor $0.25$ out of $0.25 x$ .

$y = 1.25 + \frac{0.25 (x)}{0.4}$

Factor $0.4$ out of $0.4$ .

$y = 1.25 + \frac{0.25 (x)}{0.4 (1)}$

Separate fractions.

$y = 1.25 + \frac{0.25}{0.4} \cdot \frac{x}{1}$

Divide $0.25$ by $0.4$ .

$y = 1.25 + 0.625 \frac{x}{1}$

Divide $x$ by $1$ .

$y = 1.25 + 0.625 x$