(y+8)+5=(8y-14)-7

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Solution for (y+8)+5=(8y-14)-7 equation:


Simplifying
(y + 8) + 5 = (8y + -14) + -7

Reorder the terms:
(8 + y) + 5 = (8y + -14) + -7

Remove parenthesis around (8 + y)
8 + y + 5 = (8y + -14) + -7

Reorder the terms:
8 + 5 + y = (8y + -14) + -7

Combine like terms: 8 + 5 = 13
13 + y = (8y + -14) + -7

Reorder the terms:
13 + y = (-14 + 8y) + -7

Remove parenthesis around (-14 + 8y)
13 + y = -14 + 8y + -7

Reorder the terms:
13 + y = -14 + -7 + 8y

Combine like terms: -14 + -7 = -21
13 + y = -21 + 8y

Solving
13 + y = -21 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
13 + y + -8y = -21 + 8y + -8y

Combine like terms: y + -8y = -7y
13 + -7y = -21 + 8y + -8y

Combine like terms: 8y + -8y = 0
13 + -7y = -21 + 0
13 + -7y = -21

Add '-13' to each side of the equation.
13 + -13 + -7y = -21 + -13

Combine like terms: 13 + -13 = 0
0 + -7y = -21 + -13
-7y = -21 + -13

Combine like terms: -21 + -13 = -34
-7y = -34

Divide each side by '-7'.
y = 4.857142857

Simplifying
y = 4.857142857

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