Basic Math Examples

$- 3 y + \frac{1}{4} = \frac{13}{4}$

Step 1

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

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Step 1.1

Subtract $\frac{1}{4}$ from both sides of the equation.

$- 3 y = \frac{13}{4} - \frac{1}{4}$

Step 1.2

Combine the numerators over the common denominator.

$- 3 y = \frac{13 - 1}{4}$

Step 1.3

Subtract $1$ from $13$ .

$- 3 y = \frac{12}{4}$

Step 1.4

Divide $12$ by $4$ .

$- 3 y = 3$

Step 2

Divide each term in $- 3 y = 3$ by $- 3$ and simplify.

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Step 2.1

Divide each term in $- 3 y = 3$ by $- 3$ .

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 3$ .

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Step 2.2.1.1

Cancel the common factor.

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

Step 2.2.1.2

Divide $y$ by $1$ .

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

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $3$ by $- 3$ .

$y = - 1$