Solve for y y=(2y+1)/5

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

Step 1

Multiply both sides by $5$ .

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

Step 2

Simplify.

Simplify the left side.

Move $5$ to the left of $y$ .

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

Simplify the right side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$5 y = 2 y + 1$

Step 3

Solve for $y$ .

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

Subtract $2 y$ from both sides of the equation.

$5 y - 2 y = 1$

Subtract $2 y$ from $5 y$ .

$3 y = 1$

Divide each term in $3 y = 1$ by $3$ and simplify.

Divide each term in $3 y = 1$ by $3$ .

$\frac{3 y}{3} = \frac{1}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{1}{3}$

Divide $y$ by $1$ .

$y = \frac{1}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{1}{3}$

Decimal Form:

$y = 0.\overline{3}$