.5(y-1)=-1.2(y-18)

Solution for .5(y-1)=-1.2(y-18) equation:

Simplifying
0.5(y + -1) = -1.2(y + -18)

Reorder the terms:
0.5(-1 + y) = -1.2(y + -18)
(-1 * 0.5 + y * 0.5) = -1.2(y + -18)
(-0.5 + 0.5y) = -1.2(y + -18)

Reorder the terms:
-0.5 + 0.5y = -1.2(-18 + y)
-0.5 + 0.5y = (-18 * -1.2 + y * -1.2)
-0.5 + 0.5y = (21.6 + -1.2y)

Solving
-0.5 + 0.5y = 21.6 + -1.2y

Solving for variable 'y'.

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

Add '1.2y' to each side of the equation.
-0.5 + 0.5y + 1.2y = 21.6 + -1.2y + 1.2y

Combine like terms: 0.5y + 1.2y = 1.7y
-0.5 + 1.7y = 21.6 + -1.2y + 1.2y

Combine like terms: -1.2y + 1.2y = 0.0
-0.5 + 1.7y = 21.6 + 0.0
-0.5 + 1.7y = 21.6

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 1.7y = 21.6 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 1.7y = 21.6 + 0.5
1.7y = 21.6 + 0.5

Combine like terms: 21.6 + 0.5 = 22.1
1.7y = 22.1

Divide each side by '1.7'.
y = 13

Simplifying
y = 13