What is the answer to (7-5y)/3 =(-4+y)/2 ?

The answer to (7-5y)/3 =(-4+y)/2 is y=2

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(7-5y)/3 =(-4+y)/2

\frac{7 - 5 y}{3} = \frac{- 4 + y}{2}

y = 2

Solution steps

\frac{7 - 5 y}{3} = \frac{- 4 + y}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(7 - 5 y) \cdot 2 = 3 (- 4 + y)

Expand

(7 - 5 y) \cdot 2 : 14 - 10 y

Expand

3 (- 4 + y) : - 12 + 3 y

14 - 10 y = - 12 + 3 y

Move

14

to the right side

- 10 y = 3 y - 26

Move

3 y

to the left side

- 13 y = - 26

Divide both sides by

- 13

y = 2

100 - 3 x = 20 + 2 x

- 5 x - 12 = - 7

6 r + 5 - 4 r = 7

4 (4) - 5 y = 25

1 - \frac{2}{5} (x + 1) = \frac{4}{5}

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