Basic Math Examples

$8 y - \frac{9}{19} - 7 y = \frac{3}{19} + \frac{9}{19}$

Step 1

Subtract $7 y$ from $8 y$ .

$y - \frac{9}{19} = \frac{3}{19} + \frac{9}{19}$

Step 2

Simplify $\frac{3}{19} + \frac{9}{19}$ .

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Step 2.1

Combine the numerators over the common denominator.

$y - \frac{9}{19} = \frac{3 + 9}{19}$

Step 2.2

Add $3$ and $9$ .

$y - \frac{9}{19} = \frac{12}{19}$

Step 3

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

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Step 3.1

Add $\frac{9}{19}$ to both sides of the equation.

$y = \frac{12}{19} + \frac{9}{19}$

Step 3.2

Combine the numerators over the common denominator.

$y = \frac{12 + 9}{19}$

Step 3.3

Add $12$ and $9$ .

$y = \frac{21}{19}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{21}{19}$

Decimal Form:

$y = 1.10526315 \dots$

Mixed Number Form:

$y = 1 \frac{2}{19}$