Solve 9/2+5/2y=2y-3

$$\frac { 9 } { 2 } + \frac { 5 } { 2 } y = 2 y - 3$$

Solve for y

$$y=-15$$

Steps for Solving Linear Equation

Subtract 2y from both sides.

$$\frac{9}{2}+\frac{5}{2}y-2y=-3$$

Combine \frac{5}{2}y and -2y to get \frac{1}{2}y.

$$\frac{9}{2}+\frac{1}{2}y=-3$$

Subtract \frac{9}{2} from both sides.

$$\frac{1}{2}y=-3-\frac{9}{2}$$

Convert -3 to fraction -\frac{6}{2}.

$$\frac{1}{2}y=-\frac{6}{2}-\frac{9}{2}$$

Since -\frac{6}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}y=\frac{-6-9}{2}$$

Subtract 9 from -6 to get -15.

$$\frac{1}{2}y=-\frac{15}{2}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$y=-\frac{15}{2}\times 2$$

Cancel out 2 and 2.

$$y=-15$$