What is the answer to y= 3/2*(5-y)/2-2 ?

The answer to y= 3/2*(5-y)/2-2 is y=1

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y= 3/2*(5-y)/2-2

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

y = 1

Solution steps

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

\frac{3}{2} \cdot \frac{5 - y}{2} = \frac{3 ( 5 - y )}{4}

y = \frac{3 ( 5 - y )}{4} - 2

Multiply both sides by

4

4 y = 3 (5 - y) - 8

Expand

3 (5 - y) - 8 : - 3 y + 7

4 y = - 3 y + 7

Move

3 y

to the left side

7 y = 7

Divide both sides by

7

y = 1

\frac{1 - m}{m} > 0

9 - y \leq 6 (y - 2)

\frac{63 375}{7}

- 2 x - 6 = 3 x - 21

3 x^{2} + 3 = 5 x