Y-6y+3.9=-5.5(y-4.8)

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Solution for Y-6y+3.9=-5.5(y-4.8) equation: 


Simplifying
Y + -6y + 3.9 = -5.5(y + -4.8)

Reorder the terms:
3.9 + Y + -6y = -5.5(y + -4.8)

Reorder the terms:
3.9 + Y + -6y = -5.5(-4.8 + y)
3.9 + Y + -6y = (-4.8 * -5.5 + y * -5.5)
3.9 + Y + -6y = (26.4 + -5.5y)

Solving
3.9 + Y + -6y = 26.4 + -5.5y

Solving for variable 'Y'.

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

Add '-3.9' to each side of the equation.
3.9 + Y + -3.9 + -6y = 26.4 + -3.9 + -5.5y

Reorder the terms:
3.9 + -3.9 + Y + -6y = 26.4 + -3.9 + -5.5y

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + Y + -6y = 26.4 + -3.9 + -5.5y
Y + -6y = 26.4 + -3.9 + -5.5y

Combine like terms: 26.4 + -3.9 = 22.5
Y + -6y = 22.5 + -5.5y

Add '6y' to each side of the equation.
Y + -6y + 6y = 22.5 + -5.5y + 6y

Combine like terms: -6y + 6y = 0
Y + 0 = 22.5 + -5.5y + 6y
Y = 22.5 + -5.5y + 6y

Combine like terms: -5.5y + 6y = 0.5y
Y = 22.5 + 0.5y

Simplifying
Y = 22.5 + 0.5y

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