Solve for y y+1/5=7/10

$y + \frac{1}{5} = \frac{7}{10}$

Step 1

Subtract $\frac{1}{5}$ from both sides of the equation.

$y = \frac{7}{10} - \frac{1}{5}$

Step 2

To write $- \frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = \frac{7}{10} - \frac{1}{5} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{5}$ by $\frac{2}{2}$ .

$y = \frac{7}{10} - \frac{2}{5 \cdot 2}$

Multiply $5$ by $2$ .

$y = \frac{7}{10} - \frac{2}{10}$

Step 4

Combine the numerators over the common denominator.

$y = \frac{7 - 2}{10}$

Step 5

Subtract $2$ from $7$ .

$y = \frac{5}{10}$

Step 6

Cancel the common factor of $5$ and $10$ .

Factor $5$ out of $5$ .

$y = \frac{5 (1)}{10}$

Cancel the common factors.

Factor $5$ out of $10$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 7

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = 0.5$