Pre-Algebra Examples

$y - 4 = 3 (x - (- 7))$

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 $3 (x - (- 7))$ .

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Step 2.1.1

Multiply $- 1$ by $- 7$ .

$y - 4 = 3 (x + 7)$

Step 2.1.2

Apply the distributive property.

$y - 4 = 3 x + 3 \cdot 7$

Step 2.1.3

Multiply $3$ by $7$ .

$y - 4 = 3 x + 21$

Step 3

Rewrite the equation.

$3 x + 21 = y - 4$

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.

$3 x + 21 - y = - 4$

Step 4.2

Move $21$ .

$3 x - y + 21 = - 4$

Step 5

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

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Step 5.1

Subtract $21$ from both sides of the equation.

$3 x - y = - 4 - 21$

Step 5.2

Subtract $21$ from $- 4$ .

$3 x - y = - 25$

Step 6