Solve 27/2+2y=2

$$\frac { 27 } { 2 } + 2 y = 2$$

Solve for y

$$y = -\frac{23}{4} = -5\frac{3}{4} = -5.75$$

Steps for Solving Linear Equation

Subtract \frac{27}{2} from both sides.

$$2y=2-\frac{27}{2}$$

Convert 2 to fraction \frac{4}{2}.

$$2y=\frac{4}{2}-\frac{27}{2}$$

Since \frac{4}{2} and \frac{27}{2} have the same denominator, subtract them by subtracting their numerators.

$$2y=\frac{4-27}{2}$$

Subtract 27 from 4 to get -23.

$$2y=-\frac{23}{2}$$

Divide both sides by 2.

$$y=\frac{-\frac{23}{2}}{2}$$

Express \frac{-\frac{23}{2}}{2} as a single fraction.

$$y=\frac{-23}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$y=\frac{-23}{4}$$

Fraction \frac{-23}{4} can be rewritten as -\frac{23}{4} by extracting the negative sign.

$$y=-\frac{23}{4}$$