To solve this equation, we need to distribute the coefficients and combine like terms on both sides of the equation.

14(2y - 3) - 5(y + 4) = 2(3y + 5) + 5y
28y - 42 - 5y - 20 = 6y + 10 + 5y

Combine like terms:

23y - 62 = 11y + 10

Now, we want to isolate the variable y on one side of the equation. Let's move all terms with y to one side:

23y - 11y = 10 + 62
12y = 72

Now, solve for y by dividing both sides by 12:

y = 72 / 12
y = 6

Therefore, the solution to the equation is y = 6.