1.1(y-1.5)=-1.1(y-13)

Solution for 1.1(y-1.5)=-1.1(y-13) equation:

Simplifying
1.1(y + -1.5) = -1.1(y + -13)

Reorder the terms:
1.1(-1.5 + y) = -1.1(y + -13)
(-1.5 * 1.1 + y * 1.1) = -1.1(y + -13)
(-1.65 + 1.1y) = -1.1(y + -13)

Reorder the terms:
-1.65 + 1.1y = -1.1(-13 + y)
-1.65 + 1.1y = (-13 * -1.1 + y * -1.1)
-1.65 + 1.1y = (14.3 + -1.1y)

Solving
-1.65 + 1.1y = 14.3 + -1.1y

Solving for variable 'y'.

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

Add '1.1y' to each side of the equation.
-1.65 + 1.1y + 1.1y = 14.3 + -1.1y + 1.1y

Combine like terms: 1.1y + 1.1y = 2.2y
-1.65 + 2.2y = 14.3 + -1.1y + 1.1y

Combine like terms: -1.1y + 1.1y = 0.0
-1.65 + 2.2y = 14.3 + 0.0
-1.65 + 2.2y = 14.3

Add '1.65' to each side of the equation.
-1.65 + 1.65 + 2.2y = 14.3 + 1.65

Combine like terms: -1.65 + 1.65 = 0.00
0.00 + 2.2y = 14.3 + 1.65
2.2y = 14.3 + 1.65

Combine like terms: 14.3 + 1.65 = 15.95
2.2y = 15.95

Divide each side by '2.2'.
y = 7.25

Simplifying
y = 7.25