Solve 2-1-3y/4=y

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

Solve for y

$$y=7$$

Steps for Solving Linear Equation

Divide each term of 1-3y by 4 to get \frac{1}{4}-\frac{3}{4}y.

$$2-\left(\frac{1}{4}-\frac{3}{4}y\right)=y$$

To find the opposite of \frac{1}{4}-\frac{3}{4}y, find the opposite of each term.

$$2-\frac{1}{4}-\left(-\frac{3}{4}y\right)=y$$

The opposite of -\frac{3}{4}y is \frac{3}{4}y.

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

Convert 2 to fraction \frac{8}{4}.

$$\frac{8}{4}-\frac{1}{4}+\frac{3}{4}y=y$$

Since \frac{8}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-1}{4}+\frac{3}{4}y=y$$

Subtract 1 from 8 to get 7.

$$\frac{7}{4}+\frac{3}{4}y=y$$

Subtract y from both sides.

$$\frac{7}{4}+\frac{3}{4}y-y=0$$

Combine \frac{3}{4}y and -y to get -\frac{1}{4}y.

$$\frac{7}{4}-\frac{1}{4}y=0$$

Subtract \frac{7}{4} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{4}y=-\frac{7}{4}$$

Multiply both sides by -4, the reciprocal of -\frac{1}{4}.

$$y=-\frac{7}{4}\left(-4\right)$$

Express -\frac{7}{4}\left(-4\right) as a single fraction.

$$y=\frac{-7\left(-4\right)}{4}$$

Multiply -7 and -4 to get 28.

$$y=\frac{28}{4}$$

Divide 28 by 4 to get 7.

$$y=7$$