Solve for y 2+1/6y=3x+4 for y

$2 + \frac{1}{6} y = 3 x + 4$ for $y$

Step 1

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

$2 + \frac{y}{6} = 3 x + 4$

Step 2

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

Subtract $2$ from both sides of the equation.

$\frac{y}{6} = 3 x + 4 - 2$

Subtract $2$ from $4$ .

$\frac{y}{6} = 3 x + 2$

Step 3

Multiply both sides of the equation by $6$ .

$6 \frac{y}{6} = 6 (3 x + 2)$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$6 \frac{y}{6} = 6 (3 x + 2)$

Rewrite the expression.

$y = 6 (3 x + 2)$

Simplify the right side.

Simplify $6 (3 x + 2)$ .

Apply the distributive property.

$y = 6 (3 x) + 6 \cdot 2$

Multiply.

Multiply $3$ by $6$ .

$y = 18 x + 6 \cdot 2$

Multiply $6$ by $2$ .

$y = 18 x + 12$