Starting with the equation:

7(1,4y + 1,8) - 27,6 = 10,1y

First, distribute the 7 to the terms inside the parentheses:

7 1 + 7 4y + 7 * 1,8 - 27,6 = 10,1y

Simplify:

7 + 28y + 12,6 - 27,6 = 10,1y

Combine like terms:

28y - 15 = 10,1y

Next, isolate the variable y by moving all terms containing y to one side of the equation:

28y - 10,1y = 15

Simplify:

17,9y = 15

To solve for y, divide by 17,9 on both sides:

y = 15 / 17,9

y ≈ 0,838

Therefore, the solution for y is approximately 0,838.