Solve for y 16-5y=1-4y

$16 - 5 y = 1 - 4 y$

Step 1

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

Add $4 y$ to both sides of the equation.

$16 - 5 y + 4 y = 1$

Add $- 5 y$ and $4 y$ .

$16 - y = 1$

Step 2

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

Subtract $16$ from both sides of the equation.

$- y = 1 - 16$

Subtract $16$ from $1$ .

$- y = - 15$

Step 3

Divide each term in $- y = - 15$ by $- 1$ and simplify.

Divide each term in $- y = - 15$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 15}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 15}{- 1}$

Divide $y$ by $1$ .

$y = \frac{- 15}{- 1}$

Simplify the right side.

Divide $- 15$ by $- 1$ .

$y = 15$