Question

solve the equation

5y - 2 =1 / 4(y +2) = 3

Answer 1

5y-2/4(y+2)=1/3
Firstly lets do cross multiplication
1(5y-2)=3(4(y+2))
5y-2=3(4y+8)
5y-2=12y+24
5y-12y=24+2
-7y=26
-y=26/7
y=-26/7
Hope this is correct

Answer 2

The correct answer is "y = $\frac{14}{11}$". Further explanation is given below.

Step-by-step explanation:

The given expression is:

$\frac{5y-2}{4(y+2)} = \frac{1}{3}$

On solving the above expression, we get

⇒  $\frac{5y-2}{4y+8} = \frac{1}{3}$

On applying cross-multiplication, we get

⇒  3(5y-2) = 1(4y+8)

⇒  15y-6 = 4y+8

On adding "6" on both sides, we get

⇒  15y-6+6 = 4y+8+6

⇒  15y = 4y+14

On subtracting "4y" from both sides, we get

⇒  15y-4y = 14

⇒  11y = 14

⇒  y = $\frac{14}{11}$

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