y-3.8y-5.7=-5(y-3.7)

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Solution for y-3.8y-5.7=-5(y-3.7) equation: 


Simplifying
y + -3.8y + -5.7 = -5(y + -3.7)

Reorder the terms:
-5.7 + y + -3.8y = -5(y + -3.7)

Combine like terms: y + -3.8y = -2.8y
-5.7 + -2.8y = -5(y + -3.7)

Reorder the terms:
-5.7 + -2.8y = -5(-3.7 + y)
-5.7 + -2.8y = (-3.7 * -5 + y * -5)
-5.7 + -2.8y = (18.5 + -5y)

Solving
-5.7 + -2.8y = 18.5 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-5.7 + -2.8y + 5y = 18.5 + -5y + 5y

Combine like terms: -2.8y + 5y = 2.2y
-5.7 + 2.2y = 18.5 + -5y + 5y

Combine like terms: -5y + 5y = 0
-5.7 + 2.2y = 18.5 + 0
-5.7 + 2.2y = 18.5

Add '5.7' to each side of the equation.
-5.7 + 5.7 + 2.2y = 18.5 + 5.7

Combine like terms: -5.7 + 5.7 = 0.0
0.0 + 2.2y = 18.5 + 5.7
2.2y = 18.5 + 5.7

Combine like terms: 18.5 + 5.7 = 24.2
2.2y = 24.2

Divide each side by '2.2'.
y = 11

Simplifying
y = 11

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