47+5y-8=15y-10-3y

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Solution for 47+5y-8=15y-10-3y equation: 


Simplifying
47 + 5y + -8 = 15y + -10 + -3y

Reorder the terms:
47 + -8 + 5y = 15y + -10 + -3y

Combine like terms: 47 + -8 = 39
39 + 5y = 15y + -10 + -3y

Reorder the terms:
39 + 5y = -10 + 15y + -3y

Combine like terms: 15y + -3y = 12y
39 + 5y = -10 + 12y

Solving
39 + 5y = -10 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
39 + 5y + -12y = -10 + 12y + -12y

Combine like terms: 5y + -12y = -7y
39 + -7y = -10 + 12y + -12y

Combine like terms: 12y + -12y = 0
39 + -7y = -10 + 0
39 + -7y = -10

Add '-39' to each side of the equation.
39 + -39 + -7y = -10 + -39

Combine like terms: 39 + -39 = 0
0 + -7y = -10 + -39
-7y = -10 + -39

Combine like terms: -10 + -39 = -49
-7y = -49

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

Simplifying
y = 7

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