-11.3=10-2(1.4y-9.2)

Solution for -11.3=10-2(1.4y-9.2) equation:

Simplifying
-11.3 = 10 + -2(1.4y + -9.2)

Reorder the terms:
-11.3 = 10 + -2(-9.2 + 1.4y)
-11.3 = 10 + (-9.2 * -2 + 1.4y * -2)
-11.3 = 10 + (18.4 + -2.8y)

Combine like terms: 10 + 18.4 = 28.4
-11.3 = 28.4 + -2.8y

Solving
-11.3 = 28.4 + -2.8y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '2.8y' to each side of the equation.
-11.3 + 2.8y = 28.4 + -2.8y + 2.8y

Combine like terms: -2.8y + 2.8y = 0.0
-11.3 + 2.8y = 28.4 + 0.0
-11.3 + 2.8y = 28.4

Add '11.3' to each side of the equation.
-11.3 + 11.3 + 2.8y = 28.4 + 11.3

Combine like terms: -11.3 + 11.3 = 0.0
0.0 + 2.8y = 28.4 + 11.3
2.8y = 28.4 + 11.3

Combine like terms: 28.4 + 11.3 = 39.7
2.8y = 39.7

Divide each side by '2.8'.
y = 14.17857143

Simplifying
y = 14.17857143