Basic Math Examples

$y + \frac{13}{12} = \frac{11}{12} y$

Step 1

Simplify $\frac{11}{12} y$ .

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Step 1.1

Rewrite.

$y + \frac{13}{12} = 0 + 0 + \frac{11}{12} y$

Step 1.2

Simplify by adding zeros.

$y + \frac{13}{12} = \frac{11}{12} y$

Step 1.3

Combine $\frac{11}{12}$ and $y$ .

$y + \frac{13}{12} = \frac{11 y}{12}$

Step 2

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

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Step 2.1

Subtract $\frac{11 y}{12}$ from both sides of the equation.

$y + \frac{13}{12} - \frac{11 y}{12} = 0$

Step 2.2

To write $y$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$y \cdot \frac{12}{12} - \frac{11 y}{12} + \frac{13}{12} = 0$

Step 2.3

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

$\frac{y \cdot 12}{12} - \frac{11 y}{12} + \frac{13}{12} = 0$

Step 2.4

Combine the numerators over the common denominator.

$\frac{y \cdot 12 - 11 y}{12} + \frac{13}{12} = 0$

Step 2.5

Combine the numerators over the common denominator.

$\frac{y \cdot 12 - 11 y + 13}{12} = 0$

Step 2.6

Move $12$ to the left of $y$ .

$\frac{12 y - 11 y + 13}{12} = 0$

Step 2.7

Subtract $11 y$ from $12 y$ .

$\frac{y + 13}{12} = 0$

Step 3

Set the numerator equal to zero.

$y + 13 = 0$

Step 4

Subtract $13$ from both sides of the equation.

$y = - 13$