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 = -3.075y
8.2 + -3.075y = 0.5125 + -1.025y + 1.025y

Combine like terms: -1.025y + 1.025y = 0.000
8.2 + -3.075y = 0.5125 + 0.000
8.2 + -3.075y = 0.5125

Add '-8.2' to each side of the equation.
8.2 + -8.2 + -3.075y = 0.5125 + -8.2

Combine like terms: 8.2 + -8.2 = 0.0
0.0 + -3.075y = 0.5125 + -8.2
-3.075y = 0.5125 + -8.2

Combine like terms: 0.5125 + -8.2 = -7.6875
-3.075y = -7.6875

Divide each side by '-3.075'.
y = 2.5

Simplifying
y = 2.5

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