3.7y+4=8.1y-22.4

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Solution for 3.7y+4=8.1y-22.4 equation:


Simplifying
3.7y + 4 = 8.1y + -22.4

Reorder the terms:
4 + 3.7y = 8.1y + -22.4

Reorder the terms:
4 + 3.7y = -22.4 + 8.1y

Solving
4 + 3.7y = -22.4 + 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.
4 + 3.7y + -8.1y = -22.4 + 8.1y + -8.1y

Combine like terms: 3.7y + -8.1y = -4.4y
4 + -4.4y = -22.4 + 8.1y + -8.1y

Combine like terms: 8.1y + -8.1y = 0.0
4 + -4.4y = -22.4 + 0.0
4 + -4.4y = -22.4

Add '-4' to each side of the equation.
4 + -4 + -4.4y = -22.4 + -4

Combine like terms: 4 + -4 = 0
0 + -4.4y = -22.4 + -4
-4.4y = -22.4 + -4

Combine like terms: -22.4 + -4 = -26.4
-4.4y = -26.4

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

Simplifying
y = 6

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