41+5y-6=16y-13-3y

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Solution for 41+5y-6=16y-13-3y equation: 


Simplifying
41 + 5y + -6 = 16y + -13 + -3y

Reorder the terms:
41 + -6 + 5y = 16y + -13 + -3y

Combine like terms: 41 + -6 = 35
35 + 5y = 16y + -13 + -3y

Reorder the terms:
35 + 5y = -13 + 16y + -3y

Combine like terms: 16y + -3y = 13y
35 + 5y = -13 + 13y

Solving
35 + 5y = -13 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
35 + 5y + -13y = -13 + 13y + -13y

Combine like terms: 5y + -13y = -8y
35 + -8y = -13 + 13y + -13y

Combine like terms: 13y + -13y = 0
35 + -8y = -13 + 0
35 + -8y = -13

Add '-35' to each side of the equation.
35 + -35 + -8y = -13 + -35

Combine like terms: 35 + -35 = 0
0 + -8y = -13 + -35
-8y = -13 + -35

Combine like terms: -13 + -35 = -48
-8y = -48

Divide each side by '-8'.
y = 6

Simplifying
y = 6

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