Finite Math Examples

$8 y - 8 x = - 8 (8 + x)$

Step 1

Simplify $- 8 (8 + x)$ .

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Step 1.1

Rewrite.

$8 y - 8 x = 0 + 0 - 8 (8 + x)$

Step 1.2

Simplify by adding zeros.

$8 y - 8 x = - 8 (8 + x)$

Step 1.3

Apply the distributive property.

$8 y - 8 x = - 8 \cdot 8 - 8 x$

Step 1.4

Multiply $- 8$ by $8$ .

$8 y - 8 x = - 64 - 8 x$

Step 2

Move all terms containing $x$ to the left side of the equation.

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Step 2.1

Add $8 x$ to both sides of the equation.

$8 y - 8 x + 8 x = - 64$

Step 2.2

Combine the opposite terms in $8 y - 8 x + 8 x$ .

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Step 2.2.1

Add $- 8 x$ and $8 x$ .

$8 y + 0 = - 64$

Step 2.2.2

Add $8 y$ and $0$ .

$8 y = - 64$

Step 3

Divide each term in $8 y = - 64$ by $8$ and simplify.

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Step 3.1

Divide each term in $8 y = - 64$ by $8$ .

$\frac{8 y}{8} = \frac{- 64}{8}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $8$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{8 y}{8} = \frac{- 64}{8}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 64}{8}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 64$ by $8$ .

$y = - 8$

Step 4

The variable $x$ got canceled.

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$