Algebra Examples

$y + 4 = - 6 (x + 6)$

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 $- 6 (x + 6)$ .

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Step 2.1.1

Apply the distributive property.

$y + 4 = - 6 x - 6 \cdot 6$

Step 2.1.2

Multiply $- 6$ by $6$ .

$y + 4 = - 6 x - 36$

Step 3

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

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Step 3.1

Add $6 x$ to both sides of the equation.

$y + 4 + 6 x = - 36$

Step 3.2

Move $4$ .

$y + 6 x + 4 = - 36$

Step 3.3

Reorder $y$ and $6 x$ .

$6 x + y + 4 = - 36$

Step 4

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

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Step 4.1

Subtract $4$ from both sides of the equation.

$6 x + y = - 36 - 4$

Step 4.2

Subtract $4$ from $- 36$ .

$6 x + y = - 40$

Step 5