Solve for y 6x-2y=10 for y

$6 x - 2 y = 10$ for $y$

Step 1

Subtract $6 x$ from both sides of the equation.

$- 2 y = 10 - 6 x$

Step 2

Divide each term in $- 2 y = 10 - 6 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = 10 - 6 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{10}{- 2} + \frac{- 6 x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{10}{- 2} + \frac{- 6 x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{10}{- 2} + \frac{- 6 x}{- 2}$

Simplify the right side.

Simplify each term.

Divide $10$ by $- 2$ .

$y = - 5 + \frac{- 6 x}{- 2}$

Cancel the common factor of $- 6$ and $- 2$ .

Factor $- 2$ out of $- 6 x$ .

$y = - 5 + \frac{- 2 (3 x)}{- 2}$

Cancel the common factors.

Factor $- 2$ out of $- 2$ .

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

Cancel the common factor.

$y = - 5 + \frac{- 2 (3 x)}{- 2 \cdot 1}$

Rewrite the expression.

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

Divide $3 x$ by $1$ .

$y = - 5 + 3 x$