Solve for y 13=1/6y+2x

$13 = \frac{1}{6} y + 2 x$

Step 1

Rewrite the equation as $\frac{1}{6} y + 2 x = 13$ .

$\frac{1}{6} y + 2 x = 13$

Step 2

Combine $\frac{1}{6}$ and $y$ .

$\frac{y}{6} + 2 x = 13$

Step 3

Subtract $2 x$ from both sides of the equation.

$\frac{y}{6} = 13 - 2 x$

Step 4

Multiply both sides of the equation by $6$ .

$6 \frac{y}{6} = 6 (13 - 2 x)$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$6 \frac{y}{6} = 6 (13 - 2 x)$

Rewrite the expression.

$y = 6 (13 - 2 x)$

$y = 6 (13 - 2 x)$

$y = 6 (13 - 2 x)$

Simplify the right side.

Simplify $6 (13 - 2 x)$ .

Apply the distributive property.

$y = 6 \cdot 13 + 6 (- 2 x)$

Multiply.

Multiply $6$ by $13$ .

$y = 78 + 6 (- 2 x)$

Multiply $- 2$ by $6$ .

$y = 78 - 12 x$

$y = 78 - 12 x$

$y = 78 - 12 x$

$y = 78 - 12 x$

$y = 78 - 12 x$

Step 6

Reorder $78$ and $- 12 x$ .

$y = - 12 x + 78$

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