6(y+9)=-7y-11

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Solution for 6(y+9)=-7y-11 equation:


Simplifying
6(y + 9) = -7y + -11

Reorder the terms:
6(9 + y) = -7y + -11
(9 * 6 + y * 6) = -7y + -11
(54 + 6y) = -7y + -11

Reorder the terms:
54 + 6y = -11 + -7y

Solving
54 + 6y = -11 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
54 + 6y + 7y = -11 + -7y + 7y

Combine like terms: 6y + 7y = 13y
54 + 13y = -11 + -7y + 7y

Combine like terms: -7y + 7y = 0
54 + 13y = -11 + 0
54 + 13y = -11

Add '-54' to each side of the equation.
54 + -54 + 13y = -11 + -54

Combine like terms: 54 + -54 = 0
0 + 13y = -11 + -54
13y = -11 + -54

Combine like terms: -11 + -54 = -65
13y = -65

Divide each side by '13'.
y = -5

Simplifying
y = -5

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