78+5y-34=16y-12-3y

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Solution for 78+5y-34=16y-12-3y equation:


Simplifying
78 + 5y + -34 = 16y + -12 + -3y

Reorder the terms:
78 + -34 + 5y = 16y + -12 + -3y

Combine like terms: 78 + -34 = 44
44 + 5y = 16y + -12 + -3y

Reorder the terms:
44 + 5y = -12 + 16y + -3y

Combine like terms: 16y + -3y = 13y
44 + 5y = -12 + 13y

Solving
44 + 5y = -12 + 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.
44 + 5y + -13y = -12 + 13y + -13y

Combine like terms: 5y + -13y = -8y
44 + -8y = -12 + 13y + -13y

Combine like terms: 13y + -13y = 0
44 + -8y = -12 + 0
44 + -8y = -12

Add '-44' to each side of the equation.
44 + -44 + -8y = -12 + -44

Combine like terms: 44 + -44 = 0
0 + -8y = -12 + -44
-8y = -12 + -44

Combine like terms: -12 + -44 = -56
-8y = -56

Divide each side by '-8'.
y = 7

Simplifying
y = 7

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