4.2y+8.4=6.2y-3.1

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Solution for 4.2y+8.4=6.2y-3.1 equation: 


Simplifying
4.2y + 8.4 = 6.2y + -3.1

Reorder the terms:
8.4 + 4.2y = 6.2y + -3.1

Reorder the terms:
8.4 + 4.2y = -3.1 + 6.2y

Solving
8.4 + 4.2y = -3.1 + 6.2y

Solving for variable 'y'.

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

Add '-6.2y' to each side of the equation.
8.4 + 4.2y + -6.2y = -3.1 + 6.2y + -6.2y

Combine like terms: 4.2y + -6.2y = -2y
8.4 + -2y = -3.1 + 6.2y + -6.2y

Combine like terms: 6.2y + -6.2y = 0.0
8.4 + -2y = -3.1 + 0.0
8.4 + -2y = -3.1

Add '-8.4' to each side of the equation.
8.4 + -8.4 + -2y = -3.1 + -8.4

Combine like terms: 8.4 + -8.4 = 0.0
0.0 + -2y = -3.1 + -8.4
-2y = -3.1 + -8.4

Combine like terms: -3.1 + -8.4 = -11.5
-2y = -11.5

Divide each side by '-2'.
y = 5.75

Simplifying
y = 5.75

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