38+3y-12=13y-9-5y

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Solution for 38+3y-12=13y-9-5y equation:


Simplifying
38 + 3y + -12 = 13y + -9 + -5y

Reorder the terms:
38 + -12 + 3y = 13y + -9 + -5y

Combine like terms: 38 + -12 = 26
26 + 3y = 13y + -9 + -5y

Reorder the terms:
26 + 3y = -9 + 13y + -5y

Combine like terms: 13y + -5y = 8y
26 + 3y = -9 + 8y

Solving
26 + 3y = -9 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
26 + 3y + -8y = -9 + 8y + -8y

Combine like terms: 3y + -8y = -5y
26 + -5y = -9 + 8y + -8y

Combine like terms: 8y + -8y = 0
26 + -5y = -9 + 0
26 + -5y = -9

Add '-26' to each side of the equation.
26 + -26 + -5y = -9 + -26

Combine like terms: 26 + -26 = 0
0 + -5y = -9 + -26
-5y = -9 + -26

Combine like terms: -9 + -26 = -35
-5y = -35

Divide each side by '-5'.
y = 7

Simplifying
y = 7

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