3.4y+7.1=5.4y-6.2

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Solution for 3.4y+7.1=5.4y-6.2 equation: 


Simplifying
3.4y + 7.1 = 5.4y + -6.2

Reorder the terms:
7.1 + 3.4y = 5.4y + -6.2

Reorder the terms:
7.1 + 3.4y = -6.2 + 5.4y

Solving
7.1 + 3.4y = -6.2 + 5.4y

Solving for variable 'y'.

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

Add '-5.4y' to each side of the equation.
7.1 + 3.4y + -5.4y = -6.2 + 5.4y + -5.4y

Combine like terms: 3.4y + -5.4y = -2y
7.1 + -2y = -6.2 + 5.4y + -5.4y

Combine like terms: 5.4y + -5.4y = 0.0
7.1 + -2y = -6.2 + 0.0
7.1 + -2y = -6.2

Add '-7.1' to each side of the equation.
7.1 + -7.1 + -2y = -6.2 + -7.1

Combine like terms: 7.1 + -7.1 = 0.0
0.0 + -2y = -6.2 + -7.1
-2y = -6.2 + -7.1

Combine like terms: -6.2 + -7.1 = -13.3
-2y = -13.3

Divide each side by '-2'.
y = 6.65

Simplifying
y = 6.65

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