Y-0.4y+4.1=0.5(y+5)

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Solution for Y-0.4y+4.1=0.5(y+5) equation: 


Simplifying
Y + -0.4y + 4.1 = 0.5(y + 5)

Reorder the terms:
4.1 + Y + -0.4y = 0.5(y + 5)

Reorder the terms:
4.1 + Y + -0.4y = 0.5(5 + y)
4.1 + Y + -0.4y = (5 * 0.5 + y * 0.5)
4.1 + Y + -0.4y = (2.5 + 0.5y)

Solving
4.1 + Y + -0.4y = 2.5 + 0.5y

Solving for variable 'Y'.

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

Add '-4.1' to each side of the equation.
4.1 + Y + -4.1 + -0.4y = 2.5 + -4.1 + 0.5y

Reorder the terms:
4.1 + -4.1 + Y + -0.4y = 2.5 + -4.1 + 0.5y

Combine like terms: 4.1 + -4.1 = 0.0
0.0 + Y + -0.4y = 2.5 + -4.1 + 0.5y
Y + -0.4y = 2.5 + -4.1 + 0.5y

Combine like terms: 2.5 + -4.1 = -1.6
Y + -0.4y = -1.6 + 0.5y

Add '0.4y' to each side of the equation.
Y + -0.4y + 0.4y = -1.6 + 0.5y + 0.4y

Combine like terms: -0.4y + 0.4y = 0.0
Y + 0.0 = -1.6 + 0.5y + 0.4y
Y = -1.6 + 0.5y + 0.4y

Combine like terms: 0.5y + 0.4y = 0.9y
Y = -1.6 + 0.9y

Simplifying
Y = -1.6 + 0.9y

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