Basic Math Examples

$y - 9 = \frac{1}{8} \cdot (h - 8)$

Step 1

Simplify $\frac{1}{8} \cdot (h - 8)$ .

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Step 1.1

Rewrite.

$y - 9 = 0 + 0 + \frac{1}{8} \cdot (h - 8)$

Step 1.2

Simplify by adding zeros.

$y - 9 = \frac{1}{8} \cdot (h - 8)$

Step 1.3

Apply the distributive property.

$y - 9 = \frac{1}{8} h + \frac{1}{8} \cdot - 8$

Step 1.4

Combine $\frac{1}{8}$ and $h$ .

$y - 9 = \frac{h}{8} + \frac{1}{8} \cdot - 8$

Step 1.5

Cancel the common factor of $8$ .

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Step 1.5.1

Factor $8$ out of $- 8$ .

$y - 9 = \frac{h}{8} + \frac{1}{8} \cdot (8 (- 1))$

Step 1.5.2

Cancel the common factor.

$y - 9 = \frac{h}{8} + \frac{1}{8} \cdot (8 \cdot - 1)$

Step 1.5.3

Rewrite the expression.

$y - 9 = \frac{h}{8} - 1$

Step 2

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

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Step 2.1

Add $9$ to both sides of the equation.

$y = \frac{h}{8} - 1 + 9$

Step 2.2

Add $- 1$ and $9$ .

$y = \frac{h}{8} + 8$