2y+18=12-6(y+6)

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Solution for 2y+18=12-6(y+6) equation:


Simplifying
2y + 18 = 12 + -6(y + 6)

Reorder the terms:
18 + 2y = 12 + -6(y + 6)

Reorder the terms:
18 + 2y = 12 + -6(6 + y)
18 + 2y = 12 + (6 * -6 + y * -6)
18 + 2y = 12 + (-36 + -6y)

Combine like terms: 12 + -36 = -24
18 + 2y = -24 + -6y

Solving
18 + 2y = -24 + -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.
18 + 2y + 6y = -24 + -6y + 6y

Combine like terms: 2y + 6y = 8y
18 + 8y = -24 + -6y + 6y

Combine like terms: -6y + 6y = 0
18 + 8y = -24 + 0
18 + 8y = -24

Add '-18' to each side of the equation.
18 + -18 + 8y = -24 + -18

Combine like terms: 18 + -18 = 0
0 + 8y = -24 + -18
8y = -24 + -18

Combine like terms: -24 + -18 = -42
8y = -42

Divide each side by '8'.
y = -5.25

Simplifying
y = -5.25

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