y-3.7y+0.1=-3.2(y+2)

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Solution for y-3.7y+0.1=-3.2(y+2) equation: 


Simplifying
y + -3.7y + 0.1 = -3.2(y + 2)

Reorder the terms:
0.1 + y + -3.7y = -3.2(y + 2)

Combine like terms: y + -3.7y = -2.7y
0.1 + -2.7y = -3.2(y + 2)

Reorder the terms:
0.1 + -2.7y = -3.2(2 + y)
0.1 + -2.7y = (2 * -3.2 + y * -3.2)
0.1 + -2.7y = (-6.4 + -3.2y)

Solving
0.1 + -2.7y = -6.4 + -3.2y

Solving for variable 'y'.

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

Add '3.2y' to each side of the equation.
0.1 + -2.7y + 3.2y = -6.4 + -3.2y + 3.2y

Combine like terms: -2.7y + 3.2y = 0.5y
0.1 + 0.5y = -6.4 + -3.2y + 3.2y

Combine like terms: -3.2y + 3.2y = 0.0
0.1 + 0.5y = -6.4 + 0.0
0.1 + 0.5y = -6.4

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.5y = -6.4 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.5y = -6.4 + -0.1
0.5y = -6.4 + -0.1

Combine like terms: -6.4 + -0.1 = -6.5
0.5y = -6.5

Divide each side by '0.5'.
y = -13

Simplifying
y = -13

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