2(2y-1)=-0.8(0.5-y)

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Solution for 2(2y-1)=-0.8(0.5-y) equation: 


Simplifying
2(2y + -1) = -0.8(0.5 + -1y)

Reorder the terms:
2(-1 + 2y) = -0.8(0.5 + -1y)
(-1 * 2 + 2y * 2) = -0.8(0.5 + -1y)
(-2 + 4y) = -0.8(0.5 + -1y)
-2 + 4y = (0.5 * -0.8 + -1y * -0.8)
-2 + 4y = (-0.4 + 0.8y)

Solving
-2 + 4y = -0.4 + 0.8y

Solving for variable 'y'.

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

Add '-0.8y' to each side of the equation.
-2 + 4y + -0.8y = -0.4 + 0.8y + -0.8y

Combine like terms: 4y + -0.8y = 3.2y
-2 + 3.2y = -0.4 + 0.8y + -0.8y

Combine like terms: 0.8y + -0.8y = 0.0
-2 + 3.2y = -0.4 + 0.0
-2 + 3.2y = -0.4

Add '2' to each side of the equation.
-2 + 2 + 3.2y = -0.4 + 2

Combine like terms: -2 + 2 = 0
0 + 3.2y = -0.4 + 2
3.2y = -0.4 + 2

Combine like terms: -0.4 + 2 = 1.6
3.2y = 1.6

Divide each side by '3.2'.
y = 0.5

Simplifying
y = 0.5

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