6=2(y+8)-7y

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Solution for 6=2(y+8)-7y equation: 


Simplifying
6 = 2(y + 8) + -7y

Reorder the terms:
6 = 2(8 + y) + -7y
6 = (8 * 2 + y * 2) + -7y
6 = (16 + 2y) + -7y

Combine like terms: 2y + -7y = -5y
6 = 16 + -5y

Solving
6 = 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.
6 + 5y = 16 + -5y + 5y

Combine like terms: -5y + 5y = 0
6 + 5y = 16 + 0
6 + 5y = 16

Add '-6' to each side of the equation.
6 + -6 + 5y = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 16 + -6
5y = 16 + -6

Combine like terms: 16 + -6 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2

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