To solve this equation, we first distribute the terms:

12y 1.4 - 12y 0.7y + 30 1.4 - 30 0.7y = 0

Simplify:

16.8y - 8.4y^2 + 42 - 21y = 0

Combine like terms:

-8.4y^2 - 4.2y + 42 = 0

Now we can solve for y by factoring or using the quadratic formula:

-8.4y^2 - 4.2y + 42 = 0

Divide through by -4.2 to simplify:

2y^2 + y - 10 = 0

Now we can factor the quadratic:

(2y + 5)(y - 2) = 0

This gives us two possible solutions:

2y + 5 = 0 --> 2y = -5 --> y = -5/2

y - 2 = 0 --> y = 2

Therefore, the solutions to the equation are y = -5/2 and y = 2.