41+3y-12=15y-13-5y

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Solution for 41+3y-12=15y-13-5y equation: 


Simplifying
41 + 3y + -12 = 15y + -13 + -5y

Reorder the terms:
41 + -12 + 3y = 15y + -13 + -5y

Combine like terms: 41 + -12 = 29
29 + 3y = 15y + -13 + -5y

Reorder the terms:
29 + 3y = -13 + 15y + -5y

Combine like terms: 15y + -5y = 10y
29 + 3y = -13 + 10y

Solving
29 + 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.
29 + 3y + -10y = -13 + 10y + -10y

Combine like terms: 3y + -10y = -7y
29 + -7y = -13 + 10y + -10y

Combine like terms: 10y + -10y = 0
29 + -7y = -13 + 0
29 + -7y = -13

Add '-29' to each side of the equation.
29 + -29 + -7y = -13 + -29

Combine like terms: 29 + -29 = 0
0 + -7y = -13 + -29
-7y = -13 + -29

Combine like terms: -13 + -29 = -42
-7y = -42

Divide each side by '-7'.
y = 6

Simplifying
y = 6

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