2.1y+37.8=7.4y+6

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Solution for 2.1y+37.8=7.4y+6 equation: 


Simplifying
2.1y + 37.8 = 7.4y + 6

Reorder the terms:
37.8 + 2.1y = 7.4y + 6

Reorder the terms:
37.8 + 2.1y = 6 + 7.4y

Solving
37.8 + 2.1y = 6 + 7.4y

Solving for variable 'y'.

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

Add '-7.4y' to each side of the equation.
37.8 + 2.1y + -7.4y = 6 + 7.4y + -7.4y

Combine like terms: 2.1y + -7.4y = -5.3y
37.8 + -5.3y = 6 + 7.4y + -7.4y

Combine like terms: 7.4y + -7.4y = 0.0
37.8 + -5.3y = 6 + 0.0
37.8 + -5.3y = 6

Add '-37.8' to each side of the equation.
37.8 + -37.8 + -5.3y = 6 + -37.8

Combine like terms: 37.8 + -37.8 = 0.0
0.0 + -5.3y = 6 + -37.8
-5.3y = 6 + -37.8

Combine like terms: 6 + -37.8 = -31.8
-5.3y = -31.8

Divide each side by '-5.3'.
y = 6

Simplifying
y = 6

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