Solve for x 4x-6/y=15

$4 x - \frac{6}{y} = 15$

Step 1

Add $\frac{6}{y}$ to both sides of the equation.

$4 x = 15 + \frac{6}{y}$

Step 2

Divide each term in $4 x = 15 + \frac{6}{y}$ by $4$ and simplify.

Divide each term in $4 x = 15 + \frac{6}{y}$ by $4$ .

$\frac{4 x}{4} = \frac{15}{4} + \frac{\frac{6}{y}}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{15}{4} + \frac{\frac{6}{y}}{4}$

Divide $x$ by $1$ .

$x = \frac{15}{4} + \frac{\frac{6}{y}}{4}$

Simplify the right side.

Simplify each term.

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{15}{4} + \frac{6}{y} \cdot \frac{1}{4}$

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$x = \frac{15}{4} + \frac{2 (3)}{y} \cdot \frac{1}{4}$

Factor $2$ out of $4$ .

$x = \frac{15}{4} + \frac{2 \cdot 3}{y} \cdot \frac{1}{2 \cdot 2}$

Cancel the common factor.

$x = \frac{15}{4} + \frac{2 \cdot 3}{y} \cdot \frac{1}{2 \cdot 2}$

Rewrite the expression.

$x = \frac{15}{4} + \frac{3}{y} \cdot \frac{1}{2}$

Multiply $\frac{3}{y}$ by $\frac{1}{2}$ .

$x = \frac{15}{4} + \frac{3}{y \cdot 2}$

Move $2$ to the left of $y$ .

$x = \frac{15}{4} + \frac{3}{2 y}$