-7(y+8)=5y+28

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Solution for -7(y+8)=5y+28 equation: 


Simplifying
-7(y + 8) = 5y + 28

Reorder the terms:
-7(8 + y) = 5y + 28
(8 * -7 + y * -7) = 5y + 28
(-56 + -7y) = 5y + 28

Reorder the terms:
-56 + -7y = 28 + 5y

Solving
-56 + -7y = 28 + 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.
-56 + -7y + -5y = 28 + 5y + -5y

Combine like terms: -7y + -5y = -12y
-56 + -12y = 28 + 5y + -5y

Combine like terms: 5y + -5y = 0
-56 + -12y = 28 + 0
-56 + -12y = 28

Add '56' to each side of the equation.
-56 + 56 + -12y = 28 + 56

Combine like terms: -56 + 56 = 0
0 + -12y = 28 + 56
-12y = 28 + 56

Combine like terms: 28 + 56 = 84
-12y = 84

Divide each side by '-12'.
y = -7

Simplifying
y = -7

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