Y+5.6y-0.9=5.1(y+6)

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Solution for Y+5.6y-0.9=5.1(y+6) equation: 


Simplifying
Y + 5.6y + -0.9 = 5.1(y + 6)

Reorder the terms:
-0.9 + Y + 5.6y = 5.1(y + 6)

Reorder the terms:
-0.9 + Y + 5.6y = 5.1(6 + y)
-0.9 + Y + 5.6y = (6 * 5.1 + y * 5.1)
-0.9 + Y + 5.6y = (30.6 + 5.1y)

Solving
-0.9 + Y + 5.6y = 30.6 + 5.1y

Solving for variable 'Y'.

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

Add '0.9' to each side of the equation.
-0.9 + Y + 0.9 + 5.6y = 30.6 + 0.9 + 5.1y

Reorder the terms:
-0.9 + 0.9 + Y + 5.6y = 30.6 + 0.9 + 5.1y

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + Y + 5.6y = 30.6 + 0.9 + 5.1y
Y + 5.6y = 30.6 + 0.9 + 5.1y

Combine like terms: 30.6 + 0.9 = 31.5
Y + 5.6y = 31.5 + 5.1y

Add '-5.6y' to each side of the equation.
Y + 5.6y + -5.6y = 31.5 + 5.1y + -5.6y

Combine like terms: 5.6y + -5.6y = 0.0
Y + 0.0 = 31.5 + 5.1y + -5.6y
Y = 31.5 + 5.1y + -5.6y

Combine like terms: 5.1y + -5.6y = -0.5y
Y = 31.5 + -0.5y

Simplifying
Y = 31.5 + -0.5y

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