What is the answer to 5/9 y+5/3 = 3/4 y-1/2 ?

The answer to 5/9 y+5/3 = 3/4 y-1/2 is y= 78/7

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5/9 y+5/3 = 3/4 y-1/2

\frac{5}{9} y + \frac{5}{3} = \frac{3}{4} y - \frac{1}{2}

y = \frac{78}{7}

Decimal Notation

y = 11.14285 \dots

Solution steps

\frac{5}{9} y + \frac{5}{3} = \frac{3}{4} y - \frac{1}{2}

Move

\frac{5}{3}

to the right side

\frac{5}{9} y = - \frac{13}{6} + \frac{3}{4} y

Move

\frac{3}{4} y

to the left side

- \frac{7}{36} y = - \frac{13}{6}

Multiply both sides by

36

- 7 y = - 78

Divide both sides by

- 7

y = \frac{78}{7}

x, 2 x - 5 y = 10

x, y = m x + b

x, 2 x + y = 10

x, 3 x + y = 4

x, 5 x + 2 y = 10

What is the answer to 5/9 y+5/3 = 3/4 y-1/2 ?
The answer to 5/9 y+5/3 = 3/4 y-1/2 is y= 78/7
Solve for y: 5/9 y+5/3 = 3/4 y-1/2
The solution is y= 78/7