3.7y+9=8.1y-17.4

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Solution for 3.7y+9=8.1y-17.4 equation:


Simplifying
3.7y + 9 = 8.1y + -17.4

Reorder the terms:
9 + 3.7y = 8.1y + -17.4

Reorder the terms:
9 + 3.7y = -17.4 + 8.1y

Solving
9 + 3.7y = -17.4 + 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.
9 + 3.7y + -8.1y = -17.4 + 8.1y + -8.1y

Combine like terms: 3.7y + -8.1y = -4.4y
9 + -4.4y = -17.4 + 8.1y + -8.1y

Combine like terms: 8.1y + -8.1y = 0.0
9 + -4.4y = -17.4 + 0.0
9 + -4.4y = -17.4

Add '-9' to each side of the equation.
9 + -9 + -4.4y = -17.4 + -9

Combine like terms: 9 + -9 = 0
0 + -4.4y = -17.4 + -9
-4.4y = -17.4 + -9

Combine like terms: -17.4 + -9 = -26.4
-4.4y = -26.4

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

Simplifying
y = 6

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