0.2(0.2y-5)=1.02(y-1)

Solution for 0.2(0.2y-5)=1.02(y-1) equation:

Simplifying
0.2(0.2y + -5) = 1.02(y + -1)

Reorder the terms:
0.2(-5 + 0.2y) = 1.02(y + -1)
(-5 * 0.2 + 0.2y * 0.2) = 1.02(y + -1)
(-1 + 0.04y) = 1.02(y + -1)

Reorder the terms:
-1 + 0.04y = 1.02(-1 + y)
-1 + 0.04y = (-1 * 1.02 + y * 1.02)
-1 + 0.04y = (-1.02 + 1.02y)

Solving
-1 + 0.04y = -1.02 + 1.02y

Solving for variable 'y'.

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

Add '-1.02y' to each side of the equation.
-1 + 0.04y + -1.02y = -1.02 + 1.02y + -1.02y

Combine like terms: 0.04y + -1.02y = -0.98y
-1 + -0.98y = -1.02 + 1.02y + -1.02y

Combine like terms: 1.02y + -1.02y = 0.00
-1 + -0.98y = -1.02 + 0.00
-1 + -0.98y = -1.02

Add '1' to each side of the equation.
-1 + 1 + -0.98y = -1.02 + 1

Combine like terms: -1 + 1 = 0
0 + -0.98y = -1.02 + 1
-0.98y = -1.02 + 1

Combine like terms: -1.02 + 1 = -0.02
-0.98y = -0.02

Divide each side by '-0.98'.
y = 0.02040816327

Simplifying
y = 0.02040816327