Step 1 :First, we need to simplify the equation and solve for y.
Step 2 :\(2y + \frac{4(y+3)}{5} - 12 = 0\)
Step 3 :\(\frac{10y + 4(y+3) - 60}{5} = 0\)
Step 4 :\(10y + 4(y+3) - 60 = 0\)
Step 5 :\(10y + 4y + 12 - 60 = 0\)
Step 6 :\(14y - 48 = 0\)
Step 7 :\(14y = 48\)
Step 8 :\(y = \frac{48}{14}\)
Step 9 :\(\boxed{y = \frac{24}{7}}\)