Solve for y 1+5y=10x-9

$1 + 5 y = 10 x - 9$

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

Subtract $1$ from both sides of the equation.

$5 y = 10 x - 9 - 1$

Subtract $1$ from $- 9$ .

$5 y = 10 x - 10$

Divide each term in $5 y = 10 x - 10$ by $5$ and simplify.

Divide each term in $5 y = 10 x - 10$ by $5$ .

$\frac{5 y}{5} = \frac{10 x}{5} + \frac{- 10}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{10 x}{5} + \frac{- 10}{5}$

Divide $y$ by $1$ .

$y = \frac{10 x}{5} + \frac{- 10}{5}$

Simplify the right side.

Simplify each term.

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

Factor $5$ out of $10 x$ .

$y = \frac{5 (2 x)}{5} + \frac{- 10}{5}$

Cancel the common factors.

Factor $5$ out of $5$ .

$y = \frac{5 (2 x)}{5 (1)} + \frac{- 10}{5}$

Cancel the common factor.

$y = \frac{5 (2 x)}{5 \cdot 1} + \frac{- 10}{5}$

Rewrite the expression.

$y = \frac{2 x}{1} + \frac{- 10}{5}$

Divide $2 x$ by $1$ .

$y = 2 x + \frac{- 10}{5}$

Divide $- 10$ by $5$ .

$y = 2 x - 2$