y-3.7y-3.8=-2.2(y-1)

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Solution for y-3.7y-3.8=-2.2(y-1) equation: 


Simplifying
y + -3.7y + -3.8 = -2.2(y + -1)

Reorder the terms:
-3.8 + y + -3.7y = -2.2(y + -1)

Combine like terms: y + -3.7y = -2.7y
-3.8 + -2.7y = -2.2(y + -1)

Reorder the terms:
-3.8 + -2.7y = -2.2(-1 + y)
-3.8 + -2.7y = (-1 * -2.2 + y * -2.2)
-3.8 + -2.7y = (2.2 + -2.2y)

Solving
-3.8 + -2.7y = 2.2 + -2.2y

Solving for variable 'y'.

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

Add '2.2y' to each side of the equation.
-3.8 + -2.7y + 2.2y = 2.2 + -2.2y + 2.2y

Combine like terms: -2.7y + 2.2y = -0.5y
-3.8 + -0.5y = 2.2 + -2.2y + 2.2y

Combine like terms: -2.2y + 2.2y = 0.0
-3.8 + -0.5y = 2.2 + 0.0
-3.8 + -0.5y = 2.2

Add '3.8' to each side of the equation.
-3.8 + 3.8 + -0.5y = 2.2 + 3.8

Combine like terms: -3.8 + 3.8 = 0.0
0.0 + -0.5y = 2.2 + 3.8
-0.5y = 2.2 + 3.8

Combine like terms: 2.2 + 3.8 = 6
-0.5y = 6

Divide each side by '-0.5'.
y = -12

Simplifying
y = -12

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