Basic Math Examples

$\frac{5}{7} + \frac{y}{7} = 3$

Step 1

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

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Step 1.1

Subtract $\frac{5}{7}$ from both sides of the equation.

$\frac{y}{7} = 3 - \frac{5}{7}$

Step 1.2

To write $3$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{y}{7} = 3 \cdot \frac{7}{7} - \frac{5}{7}$

Step 1.3

Combine $3$ and $\frac{7}{7}$ .

$\frac{y}{7} = \frac{3 \cdot 7}{7} - \frac{5}{7}$

Step 1.4

Combine the numerators over the common denominator.

$\frac{y}{7} = \frac{3 \cdot 7 - 5}{7}$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $3$ by $7$ .

$\frac{y}{7} = \frac{21 - 5}{7}$

Step 1.5.2

Subtract $5$ from $21$ .

$\frac{y}{7} = \frac{16}{7}$

Step 2

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$y = 16$