Pre-Algebra Examples

$y - (- 2) = 3 x - (- 2)$

Step 1

Substitute $- 2$ for $x$ and find the result for $y$ .

$y - (- 2) = 3 (- 2) - (- 2)$

Step 2

Solve the equation for $y$ .

Tap for more steps...

Step 2.1

Multiply $- 1$ by $- 2$ .

$y + 2 = 3 (- 2) - (- 2)$

Step 2.2

Simplify $3 (- 2) - (- 2)$ .

Tap for more steps...

Step 2.2.1

Simplify each term.

Tap for more steps...

Step 2.2.1.1

Multiply $3$ by $- 2$ .

$y + 2 = - 6 - (- 2)$

Step 2.2.1.2

Multiply $- 1$ by $- 2$ .

$y + 2 = - 6 + 2$

Step 2.2.2

Add $- 6$ and $2$ .

$y + 2 = - 4$

Step 2.3

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 2.3.1

Subtract $2$ from both sides of the equation.

$y = - 4 - 2$

Step 2.3.2

Subtract $2$ from $- 4$ .

$y = - 6$

Step 3

Substitute $- 1$ for $x$ and find the result for $y$ .

$y - (- 2) = 3 (- 1) - (- 2)$

Step 4

Solve the equation for $y$ .

Tap for more steps...

Step 4.1

Multiply $- 1$ by $- 2$ .

$y + 2 = 3 (- 1) - (- 2)$

Step 4.2

Simplify $3 (- 1) - (- 2)$ .

Tap for more steps...

Step 4.2.1

Simplify each term.

Tap for more steps...

Step 4.2.1.1

Multiply $3$ by $- 1$ .

$y + 2 = - 3 - (- 2)$

Step 4.2.1.2

Multiply $- 1$ by $- 2$ .

$y + 2 = - 3 + 2$

Step 4.2.2

Add $- 3$ and $2$ .

$y + 2 = - 1$

Step 4.3

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 4.3.1

Subtract $2$ from both sides of the equation.

$y = - 1 - 2$

Step 4.3.2

Subtract $2$ from $- 1$ .

$y = - 3$

Step 5

Substitute $0$ for $x$ and find the result for $y$ .

$y - (- 2) = 3 (0) - (- 2)$

Step 6

Solve the equation for $y$ .

Tap for more steps...

Step 6.1

Multiply $- 1$ by $- 2$ .

$y + 2 = 3 (0) - (- 2)$

Step 6.2

Simplify $3 (0) - (- 2)$ .

Tap for more steps...

Step 6.2.1

Simplify each term.

Tap for more steps...

Step 6.2.1.1

Multiply $3$ by $0$ .

$y + 2 = 0 - (- 2)$

Step 6.2.1.2

Multiply $- 1$ by $- 2$ .

$y + 2 = 0 + 2$

Step 6.2.2

Add $0$ and $2$ .

$y + 2 = 2$

Step 6.3

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 6.3.1

Subtract $2$ from both sides of the equation.

$y = 2 - 2$

Step 6.3.2

Subtract $2$ from $2$ .

$y = 0$

Step 7

Substitute $1$ for $x$ and find the result for $y$ .

$y - (- 2) = 3 (1) - (- 2)$

Step 8

Solve the equation for $y$ .

Tap for more steps...

Step 8.1

Multiply $- 1$ by $- 2$ .

$y + 2 = 3 (1) - (- 2)$

Step 8.2

Simplify $3 (1) - (- 2)$ .

Tap for more steps...

Step 8.2.1

Simplify each term.

Tap for more steps...

Step 8.2.1.1

Multiply $3$ by $1$ .

$y + 2 = 3 - (- 2)$

Step 8.2.1.2

Multiply $- 1$ by $- 2$ .

$y + 2 = 3 + 2$

Step 8.2.2

Add $3$ and $2$ .

$y + 2 = 5$

Step 8.3

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 8.3.1

Subtract $2$ from both sides of the equation.

$y = 5 - 2$

Step 8.3.2

Subtract $2$ from $5$ .

$y = 3$

Step 9

Substitute $2$ for $x$ and find the result for $y$ .

$y - (- 2) = 3 (2) - (- 2)$

Step 10

Solve the equation for $y$ .

Tap for more steps...

Step 10.1

Multiply $- 1$ by $- 2$ .

$y + 2 = 3 (2) - (- 2)$

Step 10.2

Simplify $3 (2) - (- 2)$ .

Tap for more steps...

Step 10.2.1

Simplify each term.

Tap for more steps...

Step 10.2.1.1

Multiply $3$ by $2$ .

$y + 2 = 6 - (- 2)$

Step 10.2.1.2

Multiply $- 1$ by $- 2$ .

$y + 2 = 6 + 2$

Step 10.2.2

Add $6$ and $2$ .

$y + 2 = 8$

Step 10.3

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 10.3.1

Subtract $2$ from both sides of the equation.

$y = 8 - 2$

Step 10.3.2

Subtract $2$ from $8$ .

$y = 6$

Step 11

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & - 6 \\ - 1 & - 3 \\ 0 & 0 \\ 1 & 3 \\ 2 & 6 \end{array}$

Step 12