38+3y-16=15y-13-5y

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Solution for 38+3y-16=15y-13-5y equation: 


Simplifying
38 + 3y + -16 = 15y + -13 + -5y

Reorder the terms:
38 + -16 + 3y = 15y + -13 + -5y

Combine like terms: 38 + -16 = 22
22 + 3y = 15y + -13 + -5y

Reorder the terms:
22 + 3y = -13 + 15y + -5y

Combine like terms: 15y + -5y = 10y
22 + 3y = -13 + 10y

Solving
22 + 3y = -13 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
22 + 3y + -10y = -13 + 10y + -10y

Combine like terms: 3y + -10y = -7y
22 + -7y = -13 + 10y + -10y

Combine like terms: 10y + -10y = 0
22 + -7y = -13 + 0
22 + -7y = -13

Add '-22' to each side of the equation.
22 + -22 + -7y = -13 + -22

Combine like terms: 22 + -22 = 0
0 + -7y = -13 + -22
-7y = -13 + -22

Combine like terms: -13 + -22 = -35
-7y = -35

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

Simplifying
y = 5

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