2y+18=12-6(y+7)

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Solution for 2y+18=12-6(y+7) equation: 


Simplifying
2y + 18 = 12 + -6(y + 7)

Reorder the terms:
18 + 2y = 12 + -6(y + 7)

Reorder the terms:
18 + 2y = 12 + -6(7 + y)
18 + 2y = 12 + (7 * -6 + y * -6)
18 + 2y = 12 + (-42 + -6y)

Combine like terms: 12 + -42 = -30
18 + 2y = -30 + -6y

Solving
18 + 2y = -30 + -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 = -30 + -6y + 6y

Combine like terms: 2y + 6y = 8y
18 + 8y = -30 + -6y + 6y

Combine like terms: -6y + 6y = 0
18 + 8y = -30 + 0
18 + 8y = -30

Add '-18' to each side of the equation.
18 + -18 + 8y = -30 + -18

Combine like terms: 18 + -18 = 0
0 + 8y = -30 + -18
8y = -30 + -18

Combine like terms: -30 + -18 = -48
8y = -48

Divide each side by '8'.
y = -6

Simplifying
y = -6

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