Solve 3-3/2y=2y+5

$$3 - \frac { 3 } { 2 } y = 2 y + 5$$

Solve for y

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

Steps for Solving Linear Equation

Subtract 2y from both sides.

$$3-\frac{3}{2}y-2y=5$$

Combine -\frac{3}{2}y and -2y to get -\frac{7}{2}y.

$$3-\frac{7}{2}y=5$$

Subtract 3 from both sides.

$$-\frac{7}{2}y=5-3$$

Subtract 3 from 5 to get 2.

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

Multiply both sides by -\frac{2}{7}, the reciprocal of -\frac{7}{2}.

$$y=2\left(-\frac{2}{7}\right)$$

Express 2\left(-\frac{2}{7}\right) as a single fraction.

$$y=\frac{2\left(-2\right)}{7}$$

Multiply 2 and -2 to get -4.

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

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

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