0.5(2y-1)-(0.5-0.2y)+1=0

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Solution for 0.5(2y-1)-(0.5-0.2y)+1=0 equation: 


Simplifying
0.5(2y + -1) + -1(0.5 + -0.2y) + 1 = 0

Reorder the terms:
0.5(-1 + 2y) + -1(0.5 + -0.2y) + 1 = 0
(-1 * 0.5 + 2y * 0.5) + -1(0.5 + -0.2y) + 1 = 0
(-0.5 + 1y) + -1(0.5 + -0.2y) + 1 = 0
-0.5 + 1y + (0.5 * -1 + -0.2y * -1) + 1 = 0
-0.5 + 1y + (-0.5 + 0.2y) + 1 = 0

Reorder the terms:
-0.5 + -0.5 + 1 + 1y + 0.2y = 0

Combine like terms: -0.5 + -0.5 = -1
-1 + 1 + 1y + 0.2y = 0

Combine like terms: -1 + 1 = 0
0 + 1y + 0.2y = 0
1y + 0.2y = 0

Combine like terms: 1y + 0.2y = 1.2y
1.2y = 0

Solving
1.2y = 0

Solving for variable 'y'.

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

Divide each side by '1.2'.
y = 0

Simplifying
y = 0

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