Solve y=1/2*3/2-3/2+3/2-2

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

Solve for y

$$y = -\frac{5}{4} = -1\frac{1}{4} = -1.25$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 3}{2\times 2}.

$$y=\frac{3}{4}-\frac{3}{2}+\frac{3}{2}-2$$

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{3}{2} to fractions with denominator 4.

$$y=\frac{3}{4}-\frac{6}{4}+\frac{3}{2}-2$$

Since \frac{3}{4} and \frac{6}{4} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{3-6}{4}+\frac{3}{2}-2$$

Subtract 6 from 3 to get -3.

$$y=-\frac{3}{4}+\frac{3}{2}-2$$

Least common multiple of 4 and 2 is 4. Convert -\frac{3}{4} and \frac{3}{2} to fractions with denominator 4.

$$y=-\frac{3}{4}+\frac{6}{4}-2$$

Since -\frac{3}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$y=\frac{-3+6}{4}-2$$

Add -3 and 6 to get 3.

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

Convert 2 to fraction \frac{8}{4}.

$$y=\frac{3}{4}-\frac{8}{4}$$

Since \frac{3}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{3-8}{4}$$

Subtract 8 from 3 to get -5.

$$y=-\frac{5}{4}$$

Assign y

$$y≔-\frac{5}{4}$$