6=2(y-7)-7y

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


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

Reorder the terms:
6 = 2(-7 + y) + -7y
6 = (-7 * 2 + y * 2) + -7y
6 = (-14 + 2y) + -7y

Combine like terms: 2y + -7y = -5y
6 = -14 + -5y

Solving
6 = -14 + -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 = -14 + -5y + 5y

Combine like terms: -5y + 5y = 0
6 + 5y = -14 + 0
6 + 5y = -14

Add '-6' to each side of the equation.
6 + -6 + 5y = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = -14 + -6
5y = -14 + -6

Combine like terms: -14 + -6 = -20
5y = -20

Divide each side by '5'.
y = -4

Simplifying
y = -4

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