2y+6=-4(y-6)

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Solution for 2y+6=-4(y-6) equation:


Simplifying
2y + 6 = -4(y + -6)

Reorder the terms:
6 + 2y = -4(y + -6)

Reorder the terms:
6 + 2y = -4(-6 + y)
6 + 2y = (-6 * -4 + y * -4)
6 + 2y = (24 + -4y)

Solving
6 + 2y = 24 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
6 + 2y + 4y = 24 + -4y + 4y

Combine like terms: 2y + 4y = 6y
6 + 6y = 24 + -4y + 4y

Combine like terms: -4y + 4y = 0
6 + 6y = 24 + 0
6 + 6y = 24

Add '-6' to each side of the equation.
6 + -6 + 6y = 24 + -6

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

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

Divide each side by '6'.
y = 3

Simplifying
y = 3

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