Solve 2+1/y=1/4

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

Solve for y

$$y=-\frac{4}{7}\approx -0.571428571$$

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 4y, the least common multiple of y,4.

$$4y\times 2+4=y$$

Multiply 4 and 2 to get 8.

$$8y+4=y$$

Subtract y from both sides.

$$8y+4-y=0$$

Combine 8y and -y to get 7y.

$$7y+4=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$7y=-4$$

Divide both sides by 7.

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

Fraction \frac{-4}{7} can be rewritten as -\frac{4}{7} by extracting the negative sign.

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