Solve for y 4(7y+x)=4

$4 (7 y + x) = 4$

Divide each term by $4$ and simplify.

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Divide each term in $4 (7 y + x) = 4$ by $4$ .

$\frac{4 (7 y + x)}{4} = \frac{4}{4}$

Cancel the common factor of $4$ .

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Cancel the common factor.

$\frac{4 (7 y + x)}{4} = \frac{4}{4}$

Divide $7 y + x$ by $1$ .

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

Divide $4$ by $4$ .

$7 y + x = 1$

Subtract $x$ from both sides of the equation.

$7 y = 1 - x$

Divide each term by $7$ and simplify.

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Divide each term in $7 y = 1 - x$ by $7$ .

$\frac{7 y}{7} = \frac{1}{7} + \frac{- x}{7}$

Cancel the common factor of $7$ .

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Cancel the common factor.

$\frac{7 y}{7} = \frac{1}{7} + \frac{- x}{7}$

Divide $y$ by $1$ .

$y = \frac{1}{7} + \frac{- x}{7}$

Move the negative in front of the fraction.

$y = \frac{1}{7} - \frac{x}{7}$

Solve for y 4(7y+x)=4

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