Solve for y 4x-5=7+4y for y

$4 x - 5 = 7 + 4 y$ for $y$

Rewrite the equation as $7 + 4 y = 4 x - 5$ .

$7 + 4 y = 4 x - 5$

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

Subtract $7$ from both sides of the equation.

$4 y = 4 x - 5 - 7$

Subtract $7$ from $- 5$ .

$4 y = 4 x - 12$

Divide each term in $4 y = 4 x - 12$ by $4$ and simplify.

Divide each term in $4 y = 4 x - 12$ by $4$ .

$\frac{4 y}{4} = \frac{4 x}{4} + \frac{- 12}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{4 x}{4} + \frac{- 12}{4}$

Divide $y$ by $1$ .

$y = \frac{4 x}{4} + \frac{- 12}{4}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $4$ .

Cancel the common factor.

$y = \frac{4 x}{4} + \frac{- 12}{4}$

Divide $x$ by $1$ .

$y = x + \frac{- 12}{4}$

Divide $- 12$ by $4$ .

$y = x - 3$