2(y+3)=2y-6(y+5)

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Solution for 2(y+3)=2y-6(y+5) equation: 


Simplifying
2(y + 3) = 2y + -6(y + 5)

Reorder the terms:
2(3 + y) = 2y + -6(y + 5)
(3 * 2 + y * 2) = 2y + -6(y + 5)
(6 + 2y) = 2y + -6(y + 5)

Reorder the terms:
6 + 2y = 2y + -6(5 + y)
6 + 2y = 2y + (5 * -6 + y * -6)
6 + 2y = 2y + (-30 + -6y)

Reorder the terms:
6 + 2y = -30 + 2y + -6y

Combine like terms: 2y + -6y = -4y
6 + 2y = -30 + -4y

Solving
6 + 2y = -30 + -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 = -30 + -4y + 4y

Combine like terms: 2y + 4y = 6y
6 + 6y = -30 + -4y + 4y

Combine like terms: -4y + 4y = 0
6 + 6y = -30 + 0
6 + 6y = -30

Add '-6' to each side of the equation.
6 + -6 + 6y = -30 + -6

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

Combine like terms: -30 + -6 = -36
6y = -36

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

Simplifying
y = -6

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