Y-0.7y-5.1=1.8(y+3)

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Solution for Y-0.7y-5.1=1.8(y+3) equation: 


Simplifying
Y + -0.7y + -5.1 = 1.8(y + 3)

Reorder the terms:
-5.1 + Y + -0.7y = 1.8(y + 3)

Reorder the terms:
-5.1 + Y + -0.7y = 1.8(3 + y)
-5.1 + Y + -0.7y = (3 * 1.8 + y * 1.8)
-5.1 + Y + -0.7y = (5.4 + 1.8y)

Solving
-5.1 + Y + -0.7y = 5.4 + 1.8y

Solving for variable 'Y'.

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

Add '5.1' to each side of the equation.
-5.1 + Y + 5.1 + -0.7y = 5.4 + 5.1 + 1.8y

Reorder the terms:
-5.1 + 5.1 + Y + -0.7y = 5.4 + 5.1 + 1.8y

Combine like terms: -5.1 + 5.1 = 0.0
0.0 + Y + -0.7y = 5.4 + 5.1 + 1.8y
Y + -0.7y = 5.4 + 5.1 + 1.8y

Combine like terms: 5.4 + 5.1 = 10.5
Y + -0.7y = 10.5 + 1.8y

Add '0.7y' to each side of the equation.
Y + -0.7y + 0.7y = 10.5 + 1.8y + 0.7y

Combine like terms: -0.7y + 0.7y = 0.0
Y + 0.0 = 10.5 + 1.8y + 0.7y
Y = 10.5 + 1.8y + 0.7y

Combine like terms: 1.8y + 0.7y = 2.5y
Y = 10.5 + 2.5y

Simplifying
Y = 10.5 + 2.5y

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