3y+12=7y-16

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Solution for 3y+12=7y-16 equation: 


Simplifying
3y + 12 = 7y + -16

Reorder the terms:
12 + 3y = 7y + -16

Reorder the terms:
12 + 3y = -16 + 7y

Solving
12 + 3y = -16 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
12 + 3y + -7y = -16 + 7y + -7y

Combine like terms: 3y + -7y = -4y
12 + -4y = -16 + 7y + -7y

Combine like terms: 7y + -7y = 0
12 + -4y = -16 + 0
12 + -4y = -16

Add '-12' to each side of the equation.
12 + -12 + -4y = -16 + -12

Combine like terms: 12 + -12 = 0
0 + -4y = -16 + -12
-4y = -16 + -12

Combine like terms: -16 + -12 = -28
-4y = -28

Divide each side by '-4'.
y = 7

Simplifying
y = 7

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