2.6y+7.4=4.6y-6.1

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Solution for 2.6y+7.4=4.6y-6.1 equation: 


Simplifying
2.6y + 7.4 = 4.6y + -6.1

Reorder the terms:
7.4 + 2.6y = 4.6y + -6.1

Reorder the terms:
7.4 + 2.6y = -6.1 + 4.6y

Solving
7.4 + 2.6y = -6.1 + 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.
7.4 + 2.6y + -4.6y = -6.1 + 4.6y + -4.6y

Combine like terms: 2.6y + -4.6y = -2y
7.4 + -2y = -6.1 + 4.6y + -4.6y

Combine like terms: 4.6y + -4.6y = 0.0
7.4 + -2y = -6.1 + 0.0
7.4 + -2y = -6.1

Add '-7.4' to each side of the equation.
7.4 + -7.4 + -2y = -6.1 + -7.4

Combine like terms: 7.4 + -7.4 = 0.0
0.0 + -2y = -6.1 + -7.4
-2y = -6.1 + -7.4

Combine like terms: -6.1 + -7.4 = -13.5
-2y = -13.5

Divide each side by '-2'.
y = 6.75

Simplifying
y = 6.75

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