2y+2=-4(y+7)

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Solution for 2y+2=-4(y+7) equation:


Simplifying
2y + 2 = -4(y + 7)

Reorder the terms:
2 + 2y = -4(y + 7)

Reorder the terms:
2 + 2y = -4(7 + y)
2 + 2y = (7 * -4 + y * -4)
2 + 2y = (-28 + -4y)

Solving
2 + 2y = -28 + -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.
2 + 2y + 4y = -28 + -4y + 4y

Combine like terms: 2y + 4y = 6y
2 + 6y = -28 + -4y + 4y

Combine like terms: -4y + 4y = 0
2 + 6y = -28 + 0
2 + 6y = -28

Add '-2' to each side of the equation.
2 + -2 + 6y = -28 + -2

Combine like terms: 2 + -2 = 0
0 + 6y = -28 + -2
6y = -28 + -2

Combine like terms: -28 + -2 = -30
6y = -30

Divide each side by '6'.
y = -5

Simplifying
y = -5

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