5y+6=16y-3y+54

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Solution for 5y+6=16y-3y+54 equation:


Simplifying
5y + 6 = 16y + -3y + 54

Reorder the terms:
6 + 5y = 16y + -3y + 54

Reorder the terms:
6 + 5y = 54 + 16y + -3y

Combine like terms: 16y + -3y = 13y
6 + 5y = 54 + 13y

Solving
6 + 5y = 54 + 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.
6 + 5y + -13y = 54 + 13y + -13y

Combine like terms: 5y + -13y = -8y
6 + -8y = 54 + 13y + -13y

Combine like terms: 13y + -13y = 0
6 + -8y = 54 + 0
6 + -8y = 54

Add '-6' to each side of the equation.
6 + -6 + -8y = 54 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = 54 + -6
-8y = 54 + -6

Combine like terms: 54 + -6 = 48
-8y = 48

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

Simplifying
y = -6

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