16=6y+7(y+6)

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Solution for 16=6y+7(y+6) equation: 


Simplifying
16 = 6y + 7(y + 6)

Reorder the terms:
16 = 6y + 7(6 + y)
16 = 6y + (6 * 7 + y * 7)
16 = 6y + (42 + 7y)

Reorder the terms:
16 = 42 + 6y + 7y

Combine like terms: 6y + 7y = 13y
16 = 42 + 13y

Solving
16 = 42 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
16 + -13y = 42 + 13y + -13y

Combine like terms: 13y + -13y = 0
16 + -13y = 42 + 0
16 + -13y = 42

Add '-16' to each side of the equation.
16 + -16 + -13y = 42 + -16

Combine like terms: 16 + -16 = 0
0 + -13y = 42 + -16
-13y = 42 + -16

Combine like terms: 42 + -16 = 26
-13y = 26

Divide each side by '-13'.
y = -2

Simplifying
y = -2

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