What is the answer to 2/3 y+1/2 (y-3)=(y+1)/4 ?

The answer to 2/3 y+1/2 (y-3)=(y+1)/4 is y= 21/11

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2/3 y+1/2 (y-3)=(y+1)/4

\frac{2}{3} y + \frac{1}{2} (y - 3) = \frac{y + 1}{4}

y = \frac{21}{11}

Decimal Notation

y = 1.90909 \dots

Solution steps

\frac{2}{3} y + \frac{1}{2} (y - 3) = \frac{y + 1}{4}

Multiply by LCM

8 y + 6 (y - 3) = 3 (y + 1)

Expand

6 (y - 3) : 6 y - 18

8 y + 6 y - 18 = 3 (y + 1)

Add similar elements:

8 y + 6 y = 14 y

14 y - 18 = 3 (y + 1)

Expand

3 (y + 1) : 3 y + 3

14 y - 18 = 3 y + 3

Move

18

to the right side

14 y = 3 y + 21

Move

3 y

to the left side

11 y = 21

Divide both sides by

11

y = \frac{21}{11}

6 a^{3} - 378 a^{2} - 384 a

(2 x y - \frac{x}{y}) (x y^{2} + \frac{2 y}{x})

x^{2} + 8 x + 7

\frac{1 ^{3}}{2}

x^{2} - 18 x + 32 = 0

What is the answer to 2/3 y+1/2 (y-3)=(y+1)/4 ?
The answer to 2/3 y+1/2 (y-3)=(y+1)/4 is y= 21/11
Solve for y: 2/3 y+1/2 (y-3)=(y+1)/4
The solution is y= 21/11