2y-6+2(2y+7)=-6(y+1)

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Solution for 2y-6+2(2y+7)=-6(y+1) equation:


Simplifying
2y + -6 + 2(2y + 7) = -6(y + 1)

Reorder the terms:
2y + -6 + 2(7 + 2y) = -6(y + 1)
2y + -6 + (7 * 2 + 2y * 2) = -6(y + 1)
2y + -6 + (14 + 4y) = -6(y + 1)

Reorder the terms:
-6 + 14 + 2y + 4y = -6(y + 1)

Combine like terms: -6 + 14 = 8
8 + 2y + 4y = -6(y + 1)

Combine like terms: 2y + 4y = 6y
8 + 6y = -6(y + 1)

Reorder the terms:
8 + 6y = -6(1 + y)
8 + 6y = (1 * -6 + y * -6)
8 + 6y = (-6 + -6y)

Solving
8 + 6y = -6 + -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.
8 + 6y + 6y = -6 + -6y + 6y

Combine like terms: 6y + 6y = 12y
8 + 12y = -6 + -6y + 6y

Combine like terms: -6y + 6y = 0
8 + 12y = -6 + 0
8 + 12y = -6

Add '-8' to each side of the equation.
8 + -8 + 12y = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 12y = -6 + -8
12y = -6 + -8

Combine like terms: -6 + -8 = -14
12y = -14

Divide each side by '12'.
y = -1.166666667

Simplifying
y = -1.166666667

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