2y-16=3y+12

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Solution for 2y-16=3y+12 equation:


Simplifying
2y + -16 = 3y + 12

Reorder the terms:
-16 + 2y = 3y + 12

Reorder the terms:
-16 + 2y = 12 + 3y

Solving
-16 + 2y = 12 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-16 + 2y + -3y = 12 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-16 + -1y = 12 + 3y + -3y

Combine like terms: 3y + -3y = 0
-16 + -1y = 12 + 0
-16 + -1y = 12

Add '16' to each side of the equation.
-16 + 16 + -1y = 12 + 16

Combine like terms: -16 + 16 = 0
0 + -1y = 12 + 16
-1y = 12 + 16

Combine like terms: 12 + 16 = 28
-1y = 28

Divide each side by '-1'.
y = -28

Simplifying
y = -28

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