(2y+6)=(6y-18)

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Solution for (2y+6)=(6y-18) equation:


Simplifying
(2y + 6) = (6y + -18)

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

Remove parenthesis around (6 + 2y)
6 + 2y = (6y + -18)

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

Remove parenthesis around (-18 + 6y)
6 + 2y = -18 + 6y

Solving
6 + 2y = -18 + 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.
6 + 2y + -6y = -18 + 6y + -6y

Combine like terms: 2y + -6y = -4y
6 + -4y = -18 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -4y = -18 + 0
6 + -4y = -18

Add '-6' to each side of the equation.
6 + -6 + -4y = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -4y = -18 + -6
-4y = -18 + -6

Combine like terms: -18 + -6 = -24
-4y = -24

Divide each side by '-4'.
y = 6

Simplifying
y = 6

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