To solve this equation, we will first distribute the 7 outside the parentheses:

7 1.4y + 7 1.8 - 27.6 = 10.1y

Simplify by multiplying:

9.8y + 12.6 - 27.6 = 10.1y

Combine like terms:

9.8y - 15 = 10.1y

Subtract 9.8y from both sides:

-15 = 0.3y

Now, divide by 0.3 to solve for y:

y = -50

Therefore, the solution to the equation is y = -50.