6(y+3)=-2(3y-9)

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Solution for 6(y+3)=-2(3y-9) equation:


Simplifying
6(y + 3) = -2(3y + -9)

Reorder the terms:
6(3 + y) = -2(3y + -9)
(3 * 6 + y * 6) = -2(3y + -9)
(18 + 6y) = -2(3y + -9)

Reorder the terms:
18 + 6y = -2(-9 + 3y)
18 + 6y = (-9 * -2 + 3y * -2)
18 + 6y = (18 + -6y)

Add '-18' to each side of the equation.
18 + -18 + 6y = 18 + -18 + -6y

Combine like terms: 18 + -18 = 0
0 + 6y = 18 + -18 + -6y
6y = 18 + -18 + -6y

Combine like terms: 18 + -18 = 0
6y = 0 + -6y
6y = -6y

Solving
6y = -6y

Solving for variable 'y'.

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

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

Combine like terms: 6y + 6y = 12y
12y = -6y + 6y

Combine like terms: -6y + 6y = 0
12y = 0

Divide each side by '12'.
y = 0

Simplifying
y = 0

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