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

$- 2 y = - 5 y + 1$

Step 1

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

Add $5 y$ to both sides of the equation.

$- 2 y + 5 y = 1$

Add $- 2 y$ and $5 y$ .

$3 y = 1$

$3 y = 1$

Step 2

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 $1$ .

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

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

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

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = 0.\overline{3}$

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