y+4.1y-3.3=-5(y-5.4)

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Solution for y+4.1y-3.3=-5(y-5.4) equation:


Simplifying
y + 4.1y + -3.3 = -5(y + -5.4)

Reorder the terms:
-3.3 + y + 4.1y = -5(y + -5.4)

Combine like terms: y + 4.1y = 5.1y
-3.3 + 5.1y = -5(y + -5.4)

Reorder the terms:
-3.3 + 5.1y = -5(-5.4 + y)
-3.3 + 5.1y = (-5.4 * -5 + y * -5)
-3.3 + 5.1y = (27 + -5y)

Solving
-3.3 + 5.1y = 27 + -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.
-3.3 + 5.1y + 5y = 27 + -5y + 5y

Combine like terms: 5.1y + 5y = 10.1y
-3.3 + 10.1y = 27 + -5y + 5y

Combine like terms: -5y + 5y = 0
-3.3 + 10.1y = 27 + 0
-3.3 + 10.1y = 27

Add '3.3' to each side of the equation.
-3.3 + 3.3 + 10.1y = 27 + 3.3

Combine like terms: -3.3 + 3.3 = 0.0
0.0 + 10.1y = 27 + 3.3
10.1y = 27 + 3.3

Combine like terms: 27 + 3.3 = 30.3
10.1y = 30.3

Divide each side by '10.1'.
y = 3

Simplifying
y = 3

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