Solve 3/2-2y=7

$$\frac { 3 } { 2 } - 2 y = 7$$

Solve for y

$$y = -\frac{11}{4} = -2\frac{3}{4} = -2.75$$

Steps for Solving Linear Equation

Subtract \frac{3}{2} from both sides.

$$-2y=7-\frac{3}{2}$$

Convert 7 to fraction \frac{14}{2}.

$$-2y=\frac{14}{2}-\frac{3}{2}$$

Since \frac{14}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$-2y=\frac{14-3}{2}$$

Subtract 3 from 14 to get 11.

$$-2y=\frac{11}{2}$$

Divide both sides by -2.

$$y=\frac{\frac{11}{2}}{-2}$$

Express \frac{\frac{11}{2}}{-2} as a single fraction.

$$y=\frac{11}{2\left(-2\right)}$$

Multiply 2 and -2 to get -4.

$$y=\frac{11}{-4}$$

Fraction \frac{11}{-4} can be rewritten as -\frac{11}{4} by extracting the negative sign.

$$y=-\frac{11}{4}$$