Solve for y 5x-4y=3

$5 x - 4 y = 3$

Step 1

Subtract $5 x$ from both sides of the equation.

$- 4 y = 3 - 5 x$

Step 2

Divide each term in $- 4 y = 3 - 5 x$ by $- 4$ and simplify.

Divide each term in $- 4 y = 3 - 5 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{3}{- 4} + \frac{- 5 x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{3}{- 4} + \frac{- 5 x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{3}{- 4} + \frac{- 5 x}{- 4}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{3}{4} + \frac{- 5 x}{- 4}$

Dividing two negative values results in a positive value.

$y = - \frac{3}{4} + \frac{5 x}{4}$