Solve for y 3y+2/5=-1/5

$3 y + \frac{2}{5} = - \frac{1}{5}$

Step 1

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

Subtract $\frac{2}{5}$ from both sides of the equation.

$3 y = - \frac{1}{5} - \frac{2}{5}$

Combine the numerators over the common denominator.

$3 y = \frac{- 1 - 2}{5}$

Subtract $2$ from $- 1$ .

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

Move the negative in front of the fraction.

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

Step 2

Divide each term in $3 y = - \frac{3}{5}$ by $3$ and simplify.

Divide each term in $3 y = - \frac{3}{5}$ by $3$ .

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

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

$y = - \frac{3}{5} \cdot \frac{1}{3}$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{3}{5}$ into the numerator.

$y = \frac{- 3}{5} \cdot \frac{1}{3}$

Factor $3$ out of $- 3$ .

$y = \frac{3 (- 1)}{5} \cdot \frac{1}{3}$

Cancel the common factor.

$y = \frac{3 \cdot - 1}{5} \cdot \frac{1}{3}$

Rewrite the expression.

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

Move the negative in front of the fraction.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = - 0.2$