What is the answer to ((y+6))/4+((y-3))/5 =((5y-4))/8 ?

The answer to ((y+6))/4+((y-3))/5 =((5y-4))/8 is y=8

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((y+6))/4+((y-3))/5 =((5y-4))/8

\frac{( y + 6 )}{4} + \frac{( y - 3 )}{5} = \frac{( 5 y - 4 )}{8}

y = 8

Solution steps

\frac{( y + 6 )}{4} + \frac{( y - 3 )}{5} = \frac{( 5 y - 4 )}{8}

\frac{y + 6}{4} + \frac{y - 3}{5} = \frac{( 5 y - 4 )}{8}

Multiply by LCM

10 (y + 6) + 8 (y - 3) = 5 (5 y - 4)

Expand

10 (y + 6) + 8 (y - 3) : 18 y + 36

Expand

5 (5 y - 4) : 25 y - 20

18 y + 36 = 25 y - 20

Move

36

to the right side

18 y = 25 y - 56

Move

25 y

to the left side

- 7 y = - 56

Divide both sides by

- 7

y = 8

x, 8 x - 9 y = - 10

x, \frac{( 4 x - 2 y )}{3} - \frac{( x + 2 y )}{3} = \frac{5}{6}

x, 22 x + 7 y = 110

\frac{81}{3} - x = \frac{51}{4} - \frac{141}{2}

(5.4268) (x) (3) = 78

What is the answer to ((y+6))/4+((y-3))/5 =((5y-4))/8 ?
The answer to ((y+6))/4+((y-3))/5 =((5y-4))/8 is y=8
Solve for y: ((y+6))/4+((y-3))/5 =((5y-4))/8
The solution is y=8