Write in Standard Form -3+y=5/4x

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

The standard form of a linear equation is $A x + B y = C$ .

Multiply both sides by $4$ .

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

Simplify the left side.

Simplify $4 (- 3 + y)$ .

Apply the distributive property.

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

Multiply $4$ by $- 3$ .

$- 12 + 4 y = 4 (\frac{5}{4} x)$

Simplify the right side.

Simplify $4 (\frac{5}{4} x)$ .

Combine $\frac{5}{4}$ and $x$ .

$- 12 + 4 y = 4 \frac{5 x}{4}$

Cancel the common factor of $4$ .

Cancel the common factor.

$- 12 + 4 y = 4 \frac{5 x}{4}$

Rewrite the expression.

$- 12 + 4 y = 5 x$

Rewrite the equation.

$5 x = - 12 + 4 y$

Subtract $4 y$ from both sides of the equation.

$5 x - 4 y = - 12$