Pre-Algebra Examples

$y + 9 = 4 (x - 9)$

Step 1

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

Step 2

Simplify the right side.

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Step 2.1

Simplify $4 (x - 9)$ .

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Step 2.1.1

Apply the distributive property.

$y + 9 = 4 x + 4 \cdot - 9$

Step 2.1.2

Multiply $4$ by $- 9$ .

$y + 9 = 4 x - 36$

Step 3

Rewrite the equation.

$4 x - 36 = y + 9$

Step 4

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

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Step 4.1

Subtract $y$ from both sides of the equation.

$4 x - 36 - y = 9$

Step 4.2

Move $- 36$ .

$4 x - y - 36 = 9$

Step 5

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

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Step 5.1

Add $36$ to both sides of the equation.

$4 x - y = 9 + 36$

Step 5.2

Add $9$ and $36$ .

$4 x - y = 45$

Step 6