What is the answer to (4y+5)/3 =(y-10)/2 ?

The answer to (4y+5)/3 =(y-10)/2 is y=-8

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(4y+5)/3 =(y-10)/2

\frac{4 y + 5}{3} = \frac{y - 10}{2}

y = - 8

Solution steps

\frac{4 y + 5}{3} = \frac{y - 10}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(4 y + 5) \cdot 2 = 3 (y - 10)

Expand

(4 y + 5) \cdot 2 : 8 y + 10

Expand

3 (y - 10) : 3 y - 30

8 y + 10 = 3 y - 30

Move

10

to the right side

8 y = 3 y - 40

Move

3 y

to the left side

5 y = - 40

Divide both sides by

5

y = - 8

\frac{1}{2} x = - \frac{1}{2} x

4 (y + 1) + 3 y - 1 = 7 y + 3

12 - 2 x = 18

6 (x + 1) - 5 x = 8 + 2 (x - 1)

2 x + 3 x = 5

What is the answer to (4y+5)/3 =(y-10)/2 ?
The answer to (4y+5)/3 =(y-10)/2 is y=-8
Solve for y: (4y+5)/3 =(y-10)/2
The solution is y=-8