-2y-12=5y+16

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


Simplifying
-2y + -12 = 5y + 16

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

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

Solving
-12 + -2y = 16 + 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.
-12 + -2y + -5y = 16 + 5y + -5y

Combine like terms: -2y + -5y = -7y
-12 + -7y = 16 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + -7y = 16 + 0
-12 + -7y = 16

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

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

Combine like terms: 16 + 12 = 28
-7y = 28

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

Simplifying
y = -4

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