Solve for y 4x+6y=24

$4 x + 6 y = 24$

Step 1

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

$6 y = 24 - 4 x$

Step 2

Divide each term in $6 y = 24 - 4 x$ by $6$ and simplify.

Divide each term in $6 y = 24 - 4 x$ by $6$ .

$\frac{6 y}{6} = \frac{24}{6} + \frac{- 4 x}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{24}{6} + \frac{- 4 x}{6}$

Divide $y$ by $1$ .

$y = \frac{24}{6} + \frac{- 4 x}{6}$

$y = \frac{24}{6} + \frac{- 4 x}{6}$

$y = \frac{24}{6} + \frac{- 4 x}{6}$

Simplify the right side.

Simplify each term.

Divide $24$ by $6$ .

$y = 4 + \frac{- 4 x}{6}$

Cancel the common factor of $- 4$ and $6$ .

Factor $2$ out of $- 4 x$ .

$y = 4 + \frac{2 (- 2 x)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$y = 4 + \frac{2 (- 2 x)}{2 (3)}$

Cancel the common factor.

$y = 4 + \frac{2 (- 2 x)}{2 \cdot 3}$

Rewrite the expression.

$y = 4 + \frac{- 2 x}{3}$

$y = 4 + \frac{- 2 x}{3}$

$y = 4 + \frac{- 2 x}{3}$

Move the negative in front of the fraction.

$y = 4 - \frac{2 x}{3}$

$y = 4 - \frac{2 x}{3}$

$y = 4 - \frac{2 x}{3}$

$y = 4 - \frac{2 x}{3}$

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