Write in Standard Form y=2/3x+5

$y = \frac{2}{3} x + 5$

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

Multiply both sides by $3$ .

$3 y = 3 (\frac{2}{3} x + 5)$

Simplify the right side.

Simplify $3 (\frac{2}{3} x + 5)$ .

Combine $\frac{2}{3}$ and $x$ .

$3 y = 3 (\frac{2 x}{3} + 5)$

Apply the distributive property.

$3 y = 3 \frac{2 x}{3} + 3 \cdot 5$

Cancel the common factor of $3$ .

Cancel the common factor.

$3 y = 3 \frac{2 x}{3} + 3 \cdot 5$

Rewrite the expression.

$3 y = 2 x + 3 \cdot 5$

Multiply $3$ by $5$ .

$3 y = 2 x + 15$

Rewrite the equation.

$2 x + 15 = 3 y$

Move all terms containing variables to the left side of the equation.

Subtract $3 y$ from both sides of the equation.

$2 x + 15 - 3 y = 0$

Move $15$ .

$2 x - 3 y + 15 = 0$

Subtract $15$ from both sides of the equation.

$2 x - 3 y = - 15$