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

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


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

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

Reorder the terms:
2 + 6y = -4(4 + 2y)
2 + 6y = (4 * -4 + 2y * -4)
2 + 6y = (-16 + -8y)

Solving
2 + 6y = -16 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
2 + 6y + 8y = -16 + -8y + 8y

Combine like terms: 6y + 8y = 14y
2 + 14y = -16 + -8y + 8y

Combine like terms: -8y + 8y = 0
2 + 14y = -16 + 0
2 + 14y = -16

Add '-2' to each side of the equation.
2 + -2 + 14y = -16 + -2

Combine like terms: 2 + -2 = 0
0 + 14y = -16 + -2
14y = -16 + -2

Combine like terms: -16 + -2 = -18
14y = -18

Divide each side by '14'.
y = -1.285714286

Simplifying
y = -1.285714286

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