Solve y=3/2k-3

$$y = \frac { 3 } { 2 } k - 3$$

Solve for k

$$k=\frac{2\left(y+3\right)}{3}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{3}{2}k-3=y$$

Add 3 to both sides.

$$\frac{3}{2}k=y+3$$

Divide both sides of the equation by \frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{2}k}{\frac{3}{2}}=\frac{y+3}{\frac{3}{2}}$$

Dividing by \frac{3}{2} undoes the multiplication by \frac{3}{2}.

$$k=\frac{y+3}{\frac{3}{2}}$$

Divide y+3 by \frac{3}{2} by multiplying y+3 by the reciprocal of \frac{3}{2}.

$$k=\frac{2y}{3}+2$$

Solve for y

$$y=\frac{3\left(k-2\right)}{2}$$