Y-0.3y-5=-2(y-5.6)

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Solution for Y-0.3y-5=-2(y-5.6) equation: 


Simplifying
Y + -0.3y + -5 = -2(y + -5.6)

Reorder the terms:
-5 + Y + -0.3y = -2(y + -5.6)

Reorder the terms:
-5 + Y + -0.3y = -2(-5.6 + y)
-5 + Y + -0.3y = (-5.6 * -2 + y * -2)
-5 + Y + -0.3y = (11.2 + -2y)

Solving
-5 + Y + -0.3y = 11.2 + -2y

Solving for variable 'Y'.

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

Add '5' to each side of the equation.
-5 + Y + 5 + -0.3y = 11.2 + 5 + -2y

Reorder the terms:
-5 + 5 + Y + -0.3y = 11.2 + 5 + -2y

Combine like terms: -5 + 5 = 0
0 + Y + -0.3y = 11.2 + 5 + -2y
Y + -0.3y = 11.2 + 5 + -2y

Combine like terms: 11.2 + 5 = 16.2
Y + -0.3y = 16.2 + -2y

Add '0.3y' to each side of the equation.
Y + -0.3y + 0.3y = 16.2 + -2y + 0.3y

Combine like terms: -0.3y + 0.3y = 0.0
Y + 0.0 = 16.2 + -2y + 0.3y
Y = 16.2 + -2y + 0.3y

Combine like terms: -2y + 0.3y = -1.7y
Y = 16.2 + -1.7y

Simplifying
Y = 16.2 + -1.7y

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