Algebra Examples

$- 6 = \frac{y}{5} + 4$

Step 1

Rewrite the equation as $\frac{y}{5} + 4 = - 6$ .

$\frac{y}{5} + 4 = - 6$

Step 2

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

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Step 2.1

Subtract $4$ from both sides of the equation.

$\frac{y}{5} = - 6 - 4$

Step 2.2

Subtract $4$ from $- 6$ .

$\frac{y}{5} = - 10$

Step 3

Multiply both sides of the equation by $5$ .

$5 \frac{y}{5} = 5 \cdot - 10$

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 $5$ .

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Step 4.1.1.1

Cancel the common factor.

$5 \frac{y}{5} = 5 \cdot - 10$

Step 4.1.1.2

Rewrite the expression.

$y = 5 \cdot - 10$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $5$ by $- 10$ .

$y = - 50$