Write in Standard Form y+17=3(x+6)-14

$y + 17 = 3 (x + 6) - 14$

Step 1

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

Step 2

Simplify the right side.

Simplify $3 (x + 6) - 14$ .

Simplify each term.

Apply the distributive property.

$y + 17 = 3 x + 3 \cdot 6 - 14$

Multiply $3$ by $6$ .

$y + 17 = 3 x + 18 - 14$

Subtract $14$ from $18$ .

$y + 17 = 3 x + 4$

Step 3

Rewrite the equation.

$3 x + 4 = y + 17$

Step 4

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

Subtract $y$ from both sides of the equation.

$3 x + 4 - y = 17$

Move $4$ .

$3 x - y + 4 = 17$

Step 5

Move all terms not containing a variable to the right side of the equation.

Subtract $4$ from both sides of the equation.

$3 x - y = 17 - 4$

Subtract $4$ from $17$ .

$3 x - y = 13$

Step 6