Solve for y 4x+7y=4

$4 x + 7 y = 4$

Step 1

Subtract $4 x$ from both sides of the equation.

$7 y = 4 - 4 x$

Step 2

Divide each term in $7 y = 4 - 4 x$ by $7$ and simplify.

Divide each term in $7 y = 4 - 4 x$ by $7$ .

$\frac{7 y}{7} = \frac{4}{7} + \frac{- 4 x}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{4}{7} + \frac{- 4 x}{7}$

Divide $y$ by $1$ .

$y = \frac{4}{7} + \frac{- 4 x}{7}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{4}{7} - \frac{4 x}{7}$