Trigonometry Examples

$\frac{9}{7} y - 14 = - 5$

Step 1

Combine $\frac{9}{7}$ and $y$ .

$\frac{9 y}{7} - 14 = - 5$

Step 2

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

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Step 2.1

Add $14$ to both sides of the equation.

$\frac{9 y}{7} = - 5 + 14$

Step 2.2

Add $- 5$ and $14$ .

$\frac{9 y}{7} = 9$

Step 3

Multiply both sides of the equation by $\frac{7}{9}$ .

$\frac{7}{9} \cdot \frac{9 y}{7} = \frac{7}{9} \cdot 9$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify $\frac{7}{9} \cdot \frac{9 y}{7}$ .

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Step 4.1.1.1

Cancel the common factor of $7$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{7}{9} \cdot \frac{9 y}{7} = \frac{7}{9} \cdot 9$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{9} (9 y) = \frac{7}{9} \cdot 9$

Step 4.1.1.2

Cancel the common factor of $9$ .

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Step 4.1.1.2.1

Factor $9$ out of $9 y$ .

$\frac{1}{9} (9 (y)) = \frac{7}{9} \cdot 9$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{9} (9 y) = \frac{7}{9} \cdot 9$

Step 4.1.1.2.3

Rewrite the expression.

$y = \frac{7}{9} \cdot 9$

Step 4.2

Simplify the right side.

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Step 4.2.1

Cancel the common factor of $9$ .

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Step 4.2.1.1

Cancel the common factor.

$y = \frac{7}{9} \cdot 9$

Step 4.2.1.2

Rewrite the expression.

$y = 7$