-6(y-3)-6=-13y-2

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Solution for -6(y-3)-6=-13y-2 equation:


Simplifying
-6(y + -3) + -6 = -13y + -2

Reorder the terms:
-6(-3 + y) + -6 = -13y + -2
(-3 * -6 + y * -6) + -6 = -13y + -2
(18 + -6y) + -6 = -13y + -2

Reorder the terms:
18 + -6 + -6y = -13y + -2

Combine like terms: 18 + -6 = 12
12 + -6y = -13y + -2

Reorder the terms:
12 + -6y = -2 + -13y

Solving
12 + -6y = -2 + -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.
12 + -6y + 13y = -2 + -13y + 13y

Combine like terms: -6y + 13y = 7y
12 + 7y = -2 + -13y + 13y

Combine like terms: -13y + 13y = 0
12 + 7y = -2 + 0
12 + 7y = -2

Add '-12' to each side of the equation.
12 + -12 + 7y = -2 + -12

Combine like terms: 12 + -12 = 0
0 + 7y = -2 + -12
7y = -2 + -12

Combine like terms: -2 + -12 = -14
7y = -14

Divide each side by '7'.
y = -2

Simplifying
y = -2

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