Solve 1/2y-4=1/9y

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

Solve for y

$$y = \frac{72}{7} = 10\frac{2}{7} \approx 10.285714286$$

Steps for Solving Linear Equation

Subtract \frac{1}{9}y from both sides.

$$\frac{1}{2}y-4-\frac{1}{9}y=0$$

Combine \frac{1}{2}y and -\frac{1}{9}y to get \frac{7}{18}y.

$$\frac{7}{18}y-4=0$$

Add 4 to both sides. Anything plus zero gives itself.

$$\frac{7}{18}y=4$$

Multiply both sides by \frac{18}{7}, the reciprocal of \frac{7}{18}.

$$y=4\times \frac{18}{7}$$

Express 4\times \frac{18}{7} as a single fraction.

$$y=\frac{4\times 18}{7}$$

Multiply 4 and 18 to get 72.

$$y=\frac{72}{7}$$