4.1(2-Y)=1.025(Y-0.5)

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Solution for 4.1(2-Y)=1.025(Y-0.5) equation: 


Simplifying
4.1(2 + -1Y) = 1.025(Y + -0.5)
(2 * 4.1 + -1Y * 4.1) = 1.025(Y + -0.5)
(8.2 + -4.1Y) = 1.025(Y + -0.5)

Reorder the terms:
8.2 + -4.1Y = 1.025(-0.5 + Y)
8.2 + -4.1Y = (-0.5 * 1.025 + Y * 1.025)
8.2 + -4.1Y = (-0.5125 + 1.025Y)

Solving
8.2 + -4.1Y = -0.5125 + 1.025Y

Solving for variable 'Y'.

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

Add '-1.025Y' to each side of the equation.
8.2 + -4.1Y + -1.025Y = -0.5125 + 1.025Y + -1.025Y

Combine like terms: -4.1Y + -1.025Y = -5.125Y
8.2 + -5.125Y = -0.5125 + 1.025Y + -1.025Y

Combine like terms: 1.025Y + -1.025Y = 0.000
8.2 + -5.125Y = -0.5125 + 0.000
8.2 + -5.125Y = -0.5125

Add '-8.2' to each side of the equation.
8.2 + -8.2 + -5.125Y = -0.5125 + -8.2

Combine like terms: 8.2 + -8.2 = 0.0
0.0 + -5.125Y = -0.5125 + -8.2
-5.125Y = -0.5125 + -8.2

Combine like terms: -0.5125 + -8.2 = -8.7125
-5.125Y = -8.7125

Divide each side by '-5.125'.
Y = 1.7

Simplifying
Y = 1.7

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