What is the answer to (2y)/5+(y-4)/2 =(y+1)/4 ?

The answer to (2y)/5+(y-4)/2 =(y+1)/4 is y= 45/13

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(2y)/5+(y-4)/2 =(y+1)/4

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

y = \frac{45}{13}

Decimal Notation

y = 3.46153 \dots

Solution steps

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

Multiply by LCM

8 y + 10 (y - 4) = 5 (y + 1)

Expand

10 (y - 4) : 10 y - 40

8 y + 10 y - 40 = 5 (y + 1)

Add similar elements:

8 y + 10 y = 18 y

18 y - 40 = 5 (y + 1)

Expand

5 (y + 1) : 5 y + 5

18 y - 40 = 5 y + 5

Move

40

to the right side

18 y = 5 y + 45

Move

5 y

to the left side

13 y = 45

Divide both sides by

13

y = \frac{45}{13}

32 \cdot 7

(- \frac{5}{2})^{2}

x - 4 \geq - 2

(3^{4})^{3}

- x^{2} + 4 \geq 4

What is the answer to (2y)/5+(y-4)/2 =(y+1)/4 ?
The answer to (2y)/5+(y-4)/2 =(y+1)/4 is y= 45/13
Solve for y: (2y)/5+(y-4)/2 =(y+1)/4
The solution is y= 45/13