13.7y-10.6=6.2y+19.4

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Solution for 13.7y-10.6=6.2y+19.4 equation:


Simplifying
13.7y + -10.6 = 6.2y + 19.4

Reorder the terms:
-10.6 + 13.7y = 6.2y + 19.4

Reorder the terms:
-10.6 + 13.7y = 19.4 + 6.2y

Solving
-10.6 + 13.7y = 19.4 + 6.2y

Solving for variable 'y'.

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

Add '-6.2y' to each side of the equation.
-10.6 + 13.7y + -6.2y = 19.4 + 6.2y + -6.2y

Combine like terms: 13.7y + -6.2y = 7.5y
-10.6 + 7.5y = 19.4 + 6.2y + -6.2y

Combine like terms: 6.2y + -6.2y = 0.0
-10.6 + 7.5y = 19.4 + 0.0
-10.6 + 7.5y = 19.4

Add '10.6' to each side of the equation.
-10.6 + 10.6 + 7.5y = 19.4 + 10.6

Combine like terms: -10.6 + 10.6 = 0.0
0.0 + 7.5y = 19.4 + 10.6
7.5y = 19.4 + 10.6

Combine like terms: 19.4 + 10.6 = 30
7.5y = 30

Divide each side by '7.5'.
y = 4

Simplifying
y = 4

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