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}

27 x^{2} + 21 x = 0

x^{4} + 3 x^{3} - 2 x - 6

(x^{2} y^{- 1})^{2}

\frac{3}{4} - \frac{x + 1}{12} = \frac{2}{3} - \frac{x - 1}{6}

- 10 x = - 210

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