Solve 3/4=2/3y-1/2y

$$\frac { 3 } { 4 } = \frac { 2 } { 3 } y - \frac { 1 } { 2 } y$$

Solve for y

$$y = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

Combine \frac{2}{3}y and -\frac{1}{2}y to get \frac{1}{6}y.

$$\frac{3}{4}=\frac{1}{6}y$$

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

$$\frac{1}{6}y=\frac{3}{4}$$

Multiply both sides by 6, the reciprocal of \frac{1}{6}.

$$y=\frac{3}{4}\times 6$$

Express \frac{3}{4}\times 6 as a single fraction.

$$y=\frac{3\times 6}{4}$$

Multiply 3 and 6 to get 18.

$$y=\frac{18}{4}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$y=\frac{9}{2}$$