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= 21/2

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

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

y = \frac{21}{2}

Decimal Notation

y = 10.5

Solution steps

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

Expand

\frac{2}{3} y + \frac{1}{2} (y - 3) : \frac{7 y}{6} - \frac{3}{2}

\frac{7 y}{6} - \frac{3}{2} = y + \frac{1}{4}

Move

\frac{3}{2}

to the right side

\frac{7 y}{6} = y + \frac{7}{4}

Multiply both sides by

6

7 y = 6 y + \frac{21}{2}

Move

6 y

to the left side

y = \frac{21}{2}

6 x - 45 = \frac{12}{3}

a - 233 = 13

- 4 \cdot (x + 1) - 5 x = - 1 - (3 + 9 x)

x, y = y^{5} + cos (x)

9 (x - 3) = 18

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= 21/2
Solve for y: 2/3 y+1/2 (y-3)=y+1/4
The solution is y= 21/2