7(y+3)=-5y-27

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Solution for 7(y+3)=-5y-27 equation: 


Simplifying
7(y + 3) = -5y + -27

Reorder the terms:
7(3 + y) = -5y + -27
(3 * 7 + y * 7) = -5y + -27
(21 + 7y) = -5y + -27

Reorder the terms:
21 + 7y = -27 + -5y

Solving
21 + 7y = -27 + -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.
21 + 7y + 5y = -27 + -5y + 5y

Combine like terms: 7y + 5y = 12y
21 + 12y = -27 + -5y + 5y

Combine like terms: -5y + 5y = 0
21 + 12y = -27 + 0
21 + 12y = -27

Add '-21' to each side of the equation.
21 + -21 + 12y = -27 + -21

Combine like terms: 21 + -21 = 0
0 + 12y = -27 + -21
12y = -27 + -21

Combine like terms: -27 + -21 = -48
12y = -48

Divide each side by '12'.
y = -4

Simplifying
y = -4

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