3.7y+8=8.1y-18.4

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Solution for 3.7y+8=8.1y-18.4 equation:


Simplifying
3.7y + 8 = 8.1y + -18.4

Reorder the terms:
8 + 3.7y = 8.1y + -18.4

Reorder the terms:
8 + 3.7y = -18.4 + 8.1y

Solving
8 + 3.7y = -18.4 + 8.1y

Solving for variable 'y'.

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

Add '-8.1y' to each side of the equation.
8 + 3.7y + -8.1y = -18.4 + 8.1y + -8.1y

Combine like terms: 3.7y + -8.1y = -4.4y
8 + -4.4y = -18.4 + 8.1y + -8.1y

Combine like terms: 8.1y + -8.1y = 0.0
8 + -4.4y = -18.4 + 0.0
8 + -4.4y = -18.4

Add '-8' to each side of the equation.
8 + -8 + -4.4y = -18.4 + -8

Combine like terms: 8 + -8 = 0
0 + -4.4y = -18.4 + -8
-4.4y = -18.4 + -8

Combine like terms: -18.4 + -8 = -26.4
-4.4y = -26.4

Divide each side by '-4.4'.
y = 6

Simplifying
y = 6

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