7y+16=y-2

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Solution for 7y+16=y-2 equation: 


Simplifying
7y + 16 = y + -2

Reorder the terms:
16 + 7y = y + -2

Reorder the terms:
16 + 7y = -2 + y

Solving
16 + 7y = -2 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
16 + 7y + -1y = -2 + y + -1y

Combine like terms: 7y + -1y = 6y
16 + 6y = -2 + y + -1y

Combine like terms: y + -1y = 0
16 + 6y = -2 + 0
16 + 6y = -2

Add '-16' to each side of the equation.
16 + -16 + 6y = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 6y = -2 + -16
6y = -2 + -16

Combine like terms: -2 + -16 = -18
6y = -18

Divide each side by '6'.
y = -3

Simplifying
y = -3

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