Basic Math Examples

$\frac{5 - 15 y}{5} = - 2 y$

Step 1

Cancel the common factor of $5 - 15 y$ and $5$ .

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Step 1.1

Factor $5$ out of $5$ .

$\frac{5 \cdot 1 - 15 y}{5} = - 2 y$

Step 1.2

Factor $5$ out of $- 15 y$ .

$\frac{5 \cdot 1 + 5 (- 3 y)}{5} = - 2 y$

Step 1.3

Factor $5$ out of $5 (1) + 5 (- 3 y)$ .

$\frac{5 (1 - 3 y)}{5} = - 2 y$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $5$ out of $5$ .

$\frac{5 (1 - 3 y)}{5 (1)} = - 2 y$

Step 1.4.2

Cancel the common factor.

$\frac{5 (1 - 3 y)}{5 \cdot 1} = - 2 y$

Step 1.4.3

Rewrite the expression.

$\frac{1 - 3 y}{1} = - 2 y$

Step 1.4.4

Divide $1 - 3 y$ by $1$ .

$1 - 3 y = - 2 y$

Step 2

Solve for $y$ .

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Step 2.1

Move all terms containing $y$ to the left side of the equation.

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Step 2.1.1

Add $2 y$ to both sides of the equation.

$1 - 3 y + 2 y = 0$

Step 2.1.2

Add $- 3 y$ and $2 y$ .

$1 - y = 0$

Step 2.2

Subtract $1$ from both sides of the equation.

$- y = - 1$

Step 2.3

Divide each term in $- y = - 1$ by $- 1$ and simplify.

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Step 2.3.1

Divide each term in $- y = - 1$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 1}{- 1}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 1}{- 1}$

Step 2.3.2.2

Divide $y$ by $1$ .

$y = \frac{- 1}{- 1}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Divide $- 1$ by $- 1$ .

$y = 1$