6(y+2)=-5(y-2)-9

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Solution for 6(y+2)=-5(y-2)-9 equation: 


Simplifying
6(y + 2) = -5(y + -2) + -9

Reorder the terms:
6(2 + y) = -5(y + -2) + -9
(2 * 6 + y * 6) = -5(y + -2) + -9
(12 + 6y) = -5(y + -2) + -9

Reorder the terms:
12 + 6y = -5(-2 + y) + -9
12 + 6y = (-2 * -5 + y * -5) + -9
12 + 6y = (10 + -5y) + -9

Reorder the terms:
12 + 6y = 10 + -9 + -5y

Combine like terms: 10 + -9 = 1
12 + 6y = 1 + -5y

Solving
12 + 6y = 1 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
12 + 6y + 5y = 1 + -5y + 5y

Combine like terms: 6y + 5y = 11y
12 + 11y = 1 + -5y + 5y

Combine like terms: -5y + 5y = 0
12 + 11y = 1 + 0
12 + 11y = 1

Add '-12' to each side of the equation.
12 + -12 + 11y = 1 + -12

Combine like terms: 12 + -12 = 0
0 + 11y = 1 + -12
11y = 1 + -12

Combine like terms: 1 + -12 = -11
11y = -11

Divide each side by '11'.
y = -1

Simplifying
y = -1

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