Algebra Examples

$y + 4 = 3 (3 x + 3)$

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 $3 (3 x + 3)$ .

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Step 2.1.1

Apply the distributive property.

$y + 4 = 3 (3 x) + 3 \cdot 3$

Step 2.1.2

Multiply.

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Step 2.1.2.1

Multiply $3$ by $3$ .

$y + 4 = 9 x + 3 \cdot 3$

Step 2.1.2.2

Multiply $3$ by $3$ .

$y + 4 = 9 x + 9$

Step 3

Rewrite the equation.

$9 x + 9 = y + 4$

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.

$9 x + 9 - y = 4$

Step 4.2

Move $9$ .

$9 x - y + 9 = 4$

Step 5

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

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Step 5.1

Subtract $9$ from both sides of the equation.

$9 x - y = 4 - 9$

Step 5.2

Subtract $9$ from $4$ .

$9 x - y = - 5$

Step 6