If 343(y+5) = 49²y, find y

Answer 1

To find the value of y, we need to isolate it on one side of the equation.

First, let's expand the left side of the equation:
343(y+5) = 49²y
343y + 343*5 = 49²y

Simplify the equation further:
343y + 1715 = 2401y

Next, let's get all terms with y on one side and the constant terms on the other side:
1715 = 2401y - 343y

Combine like terms:
1715 = 2058y

Now, let's isolate y by dividing both sides of the equation by 2058:
1715/2058 = y

Simplify the fraction:
y ≈ 0.833