Solve 2y-1/4y=4/6

$$\frac { 2 y - 1 } { 4 y } = \frac { 4 } { 6 }$$

Solve for y

$$y = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12y, the least common multiple of 4y,6.

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

Use the distributive property to multiply 3 by 2y-1.

$$6y-3=2y\times 4$$

Multiply 2 and 4 to get 8.

$$6y-3=8y$$

Subtract 8y from both sides.

$$6y-3-8y=0$$

Combine 6y and -8y to get -2y.

$$-2y-3=0$$

Add 3 to both sides. Anything plus zero gives itself.

$$-2y=3$$

Divide both sides by -2.

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

Fraction \frac{3}{-2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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