Basic Math Examples

$- 4 = 6 + \frac{y}{2}$

Step 1

Rewrite the equation as $6 + \frac{y}{2} = - 4$ .

$6 + \frac{y}{2} = - 4$

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.

$\frac{y}{2} = - 4 - 6$

Step 2.2

Subtract $6$ from $- 4$ .

$\frac{y}{2} = - 10$

Step 3

Multiply both sides of the equation by $2$ .

$2 \frac{y}{2} = 2 \cdot - 10$

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 $2$ .

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Step 4.1.1.1

Cancel the common factor.

$2 \frac{y}{2} = 2 \cdot - 10$

Step 4.1.1.2

Rewrite the expression.

$y = 2 \cdot - 10$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $2$ by $- 10$ .

$y = - 20$