2y+16=2(7y-7)

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


Simplifying
2y + 16 = 2(7y + -7)

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

Reorder the terms:
16 + 2y = 2(-7 + 7y)
16 + 2y = (-7 * 2 + 7y * 2)
16 + 2y = (-14 + 14y)

Solving
16 + 2y = -14 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
16 + 2y + -14y = -14 + 14y + -14y

Combine like terms: 2y + -14y = -12y
16 + -12y = -14 + 14y + -14y

Combine like terms: 14y + -14y = 0
16 + -12y = -14 + 0
16 + -12y = -14

Add '-16' to each side of the equation.
16 + -16 + -12y = -14 + -16

Combine like terms: 16 + -16 = 0
0 + -12y = -14 + -16
-12y = -14 + -16

Combine like terms: -14 + -16 = -30
-12y = -30

Divide each side by '-12'.
y = 2.5

Simplifying
y = 2.5

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