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

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

Solve for y

$$y = \frac{13}{2} = 6\frac{1}{2} = 6.5$$

Steps for Solving Linear Equation

Variable y cannot be equal to \frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by 4\left(2y-3\right), the least common multiple of 3-2y,4.

$$-4\left(y+1-2y+3\right)=2y-3$$

Combine y and -2y to get -y.

$$-4\left(-y+1+3\right)=2y-3$$

Add 1 and 3 to get 4.

$$-4\left(-y+4\right)=2y-3$$

Use the distributive property to multiply -4 by -y+4.

$$4y-16=2y-3$$

Subtract 2y from both sides.

$$4y-16-2y=-3$$

Combine 4y and -2y to get 2y.

$$2y-16=-3$$

Add 16 to both sides.

$$2y=-3+16$$

Add -3 and 16 to get 13.

$$2y=13$$

Divide both sides by 2.

$$y=\frac{13}{2}$$