2y-16=5y+12

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Solution for 2y-16=5y+12 equation:


Simplifying
2y + -16 = 5y + 12

Reorder the terms:
-16 + 2y = 5y + 12

Reorder the terms:
-16 + 2y = 12 + 5y

Solving
-16 + 2y = 12 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-16 + 2y + -5y = 12 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-16 + -3y = 12 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + -3y = 12 + 0
-16 + -3y = 12

Add '16' to each side of the equation.
-16 + 16 + -3y = 12 + 16

Combine like terms: -16 + 16 = 0
0 + -3y = 12 + 16
-3y = 12 + 16

Combine like terms: 12 + 16 = 28
-3y = 28

Divide each side by '-3'.
y = -9.333333333

Simplifying
y = -9.333333333

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