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

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

Solve for y

$$y=5$$

Steps for Solving Linear Equation

Variable y cannot be equal to any of the values -1,\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2\left(2y-1\right)\left(y+1\right), the least common multiple of 4y-2,y+1.

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

Use the distributive property to multiply y+1 by 3.

$$3y+3=4y-2$$

Subtract 4y from both sides.

$$3y+3-4y=-2$$

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

$$-y+3=-2$$

Subtract 3 from both sides.

$$-y=-2-3$$

Subtract 3 from -2 to get -5.

$$-y=-5$$

Multiply both sides by -1.

$$y=5$$