Solve 3-3y-2/4=7-7/4y

$$3 - \frac { 3 y - 2 } { 4 } = 7 - \frac { 7 } { 4 } y$$

Solve for y

$$y = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$12-\left(3y-2\right)=28-7y$$

To find the opposite of 3y-2, find the opposite of each term.

$$12-3y-\left(-2\right)=28-7y$$

The opposite of -2 is 2.

$$12-3y+2=28-7y$$

Add 12 and 2 to get 14.

$$14-3y=28-7y$$

Add 7y to both sides.

$$14-3y+7y=28$$

Combine -3y and 7y to get 4y.

$$14+4y=28$$

Subtract 14 from both sides.

$$4y=28-14$$

Subtract 14 from 28 to get 14.

$$4y=14$$

Divide both sides by 4.

$$y=\frac{14}{4}$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$y=\frac{7}{2}$$