What is the answer to ((2y-3))/4 =((6y+7))/3 ?

The answer to ((2y-3))/4 =((6y+7))/3 is y=-37/18

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((2y-3))/4 =((6y+7))/3

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

y = - \frac{37}{18}

Decimal Notation

y = - 2.05555 \dots

Solution steps

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(2 y - 3) \cdot 3 = 4 (6 y + 7)

Expand

(2 y - 3) \cdot 3 : 6 y - 9

Expand

4 (6 y + 7) : 24 y + 28

6 y - 9 = 24 y + 28

Move

9

to the right side

6 y = 24 y + 37

Move

24 y

to the left side

- 18 y = 37

Divide both sides by

- 18

y = - \frac{37}{18}

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

x, 5 x + 3 y = 11

x, 5 x + 3 y = 17

x, 5 x + 3 y = - 1

\frac{w}{4} = 4

What is the answer to ((2y-3))/4 =((6y+7))/3 ?
The answer to ((2y-3))/4 =((6y+7))/3 is y=-37/18
Solve for y: ((2y-3))/4 =((6y+7))/3
The solution is y=-37/18