Solve for y 19-1-17y=-19+20y

$19 - 1 - 17 y = - 19 + 20 y$

Step 1

Subtract $1$ from $19$ .

$18 - 17 y = - 19 + 20 y$

Step 2

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

Subtract $20 y$ from both sides of the equation.

$18 - 17 y - 20 y = - 19$

Subtract $20 y$ from $- 17 y$ .

$18 - 37 y = - 19$

Step 3

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

Subtract $18$ from both sides of the equation.

$- 37 y = - 19 - 18$

Subtract $18$ from $- 19$ .

$- 37 y = - 37$

Step 4

Divide each term in $- 37 y = - 37$ by $- 37$ and simplify.

Divide each term in $- 37 y = - 37$ by $- 37$ .

$\frac{- 37 y}{- 37} = \frac{- 37}{- 37}$

Simplify the left side.

Cancel the common factor of $- 37$ .

Cancel the common factor.

$\frac{- 37 y}{- 37} = \frac{- 37}{- 37}$

Divide $y$ by $1$ .

$y = \frac{- 37}{- 37}$

Simplify the right side.

Divide $- 37$ by $- 37$ .

$y = 1$