What is the answer to (5y+4)/2 =(3y-2)/3 ?

The answer to (5y+4)/2 =(3y-2)/3 is y=-16/9

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(5y+4)/2 =(3y-2)/3

\frac{5 y + 4}{2} = \frac{3 y - 2}{3}

y = - \frac{16}{9}

Decimal Notation

y = - 1.77777 \dots

Solution steps

\frac{5 y + 4}{2} = \frac{3 y - 2}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(5 y + 4) \cdot 3 = 2 (3 y - 2)

Expand

(5 y + 4) \cdot 3 : 15 y + 12

Expand

2 (3 y - 2) : 6 y - 4

15 y + 12 = 6 y - 4

Move

12

to the right side

15 y = 6 y - 16

Move

6 y

to the left side

9 y = - 16

Divide both sides by

9

y = - \frac{16}{9}

\frac{( 2 x ^{- 2} y ) ^{- 2}}{( 3 x ^{3} y ^{4} ) ^{3}}

x^{2} + 3

\frac{2}{5} \cdot 10

\frac{45 x ^{9} y ^{8}}{- 3 x ^{7} y ^{4}}

i^{127} - 5 i^{9} + 2 i^{- 1}

What is the answer to (5y+4)/2 =(3y-2)/3 ?
The answer to (5y+4)/2 =(3y-2)/3 is y=-16/9
Solve for y: (5y+4)/2 =(3y-2)/3
The solution is y=-16/9