-0.5(y-12)=0.1(y+1)

Solution for -0.5(y-12)=0.1(y+1) equation:

Simplifying
-0.5(y + -12) = 0.1(y + 1)

Reorder the terms:
-0.5(-12 + y) = 0.1(y + 1)
(-12 * -0.5 + y * -0.5) = 0.1(y + 1)
(6 + -0.5y) = 0.1(y + 1)

Reorder the terms:
6 + -0.5y = 0.1(1 + y)
6 + -0.5y = (1 * 0.1 + y * 0.1)
6 + -0.5y = (0.1 + 0.1y)

Solving
6 + -0.5y = 0.1 + 0.1y

Solving for variable 'y'.

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

Add '-0.1y' to each side of the equation.
6 + -0.5y + -0.1y = 0.1 + 0.1y + -0.1y

Combine like terms: -0.5y + -0.1y = -0.6y
6 + -0.6y = 0.1 + 0.1y + -0.1y

Combine like terms: 0.1y + -0.1y = 0.0
6 + -0.6y = 0.1 + 0.0
6 + -0.6y = 0.1

Add '-6' to each side of the equation.
6 + -6 + -0.6y = 0.1 + -6

Combine like terms: 6 + -6 = 0
0 + -0.6y = 0.1 + -6
-0.6y = 0.1 + -6

Combine like terms: 0.1 + -6 = -5.9
-0.6y = -5.9

Divide each side by '-0.6'.
y = 9.833333333

Simplifying
y = 9.833333333