Basic Math Examples

$\frac{1}{12} y + 6 = - 10$

Step 1

Combine $\frac{1}{12}$ and $y$ .

$\frac{y}{12} + 6 = - 10$

Step 2

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

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Step 2.1

Subtract $6$ from both sides of the equation.

$\frac{y}{12} = - 10 - 6$

Step 2.2

Subtract $6$ from $- 10$ .

$\frac{y}{12} = - 16$

Step 3

Multiply both sides of the equation by $12$ .

$12 \frac{y}{12} = 12 \cdot - 16$

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

Cancel the common factor of $12$ .

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Step 4.1.1.1

Cancel the common factor.

$12 \frac{y}{12} = 12 \cdot - 16$

Step 4.1.1.2

Rewrite the expression.

$y = 12 \cdot - 16$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $12$ by $- 16$ .

$y = - 192$