2.6y+8.3=4.6y-3.4

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Solution for 2.6y+8.3=4.6y-3.4 equation: 


Simplifying
2.6y + 8.3 = 4.6y + -3.4

Reorder the terms:
8.3 + 2.6y = 4.6y + -3.4

Reorder the terms:
8.3 + 2.6y = -3.4 + 4.6y

Solving
8.3 + 2.6y = -3.4 + 4.6y

Solving for variable 'y'.

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

Add '-4.6y' to each side of the equation.
8.3 + 2.6y + -4.6y = -3.4 + 4.6y + -4.6y

Combine like terms: 2.6y + -4.6y = -2y
8.3 + -2y = -3.4 + 4.6y + -4.6y

Combine like terms: 4.6y + -4.6y = 0.0
8.3 + -2y = -3.4 + 0.0
8.3 + -2y = -3.4

Add '-8.3' to each side of the equation.
8.3 + -8.3 + -2y = -3.4 + -8.3

Combine like terms: 8.3 + -8.3 = 0.0
0.0 + -2y = -3.4 + -8.3
-2y = -3.4 + -8.3

Combine like terms: -3.4 + -8.3 = -11.7
-2y = -11.7

Divide each side by '-2'.
y = 5.85

Simplifying
y = 5.85

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