0.2-0.2(y-50)=0.2y-1

Solution for 0.2-0.2(y-50)=0.2y-1 equation:

Simplifying
0.2 + -0.2(y + -50) = 0.2y + -1

Reorder the terms:
0.2 + -0.2(-50 + y) = 0.2y + -1
0.2 + (-50 * -0.2 + y * -0.2) = 0.2y + -1
0.2 + (10 + -0.2y) = 0.2y + -1

Combine like terms: 0.2 + 10 = 10.2
10.2 + -0.2y = 0.2y + -1

Reorder the terms:
10.2 + -0.2y = -1 + 0.2y

Solving
10.2 + -0.2y = -1 + 0.2y

Solving for variable 'y'.

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

Add '-0.2y' to each side of the equation.
10.2 + -0.2y + -0.2y = -1 + 0.2y + -0.2y

Combine like terms: -0.2y + -0.2y = -0.4y
10.2 + -0.4y = -1 + 0.2y + -0.2y

Combine like terms: 0.2y + -0.2y = 0.0
10.2 + -0.4y = -1 + 0.0
10.2 + -0.4y = -1

Add '-10.2' to each side of the equation.
10.2 + -10.2 + -0.4y = -1 + -10.2

Combine like terms: 10.2 + -10.2 = 0.0
0.0 + -0.4y = -1 + -10.2
-0.4y = -1 + -10.2

Combine like terms: -1 + -10.2 = -11.2
-0.4y = -11.2

Divide each side by '-0.4'.
y = 28

Simplifying
y = 28