2(y+8)+20=8y-14-28

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Solution for 2(y+8)+20=8y-14-28 equation: 


Simplifying
2(y + 8) + 20 = 8y + -14 + -28

Reorder the terms:
2(8 + y) + 20 = 8y + -14 + -28
(8 * 2 + y * 2) + 20 = 8y + -14 + -28
(16 + 2y) + 20 = 8y + -14 + -28

Reorder the terms:
16 + 20 + 2y = 8y + -14 + -28

Combine like terms: 16 + 20 = 36
36 + 2y = 8y + -14 + -28

Reorder the terms:
36 + 2y = -14 + -28 + 8y

Combine like terms: -14 + -28 = -42
36 + 2y = -42 + 8y

Solving
36 + 2y = -42 + 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.
36 + 2y + -8y = -42 + 8y + -8y

Combine like terms: 2y + -8y = -6y
36 + -6y = -42 + 8y + -8y

Combine like terms: 8y + -8y = 0
36 + -6y = -42 + 0
36 + -6y = -42

Add '-36' to each side of the equation.
36 + -36 + -6y = -42 + -36

Combine like terms: 36 + -36 = 0
0 + -6y = -42 + -36
-6y = -42 + -36

Combine like terms: -42 + -36 = -78
-6y = -78

Divide each side by '-6'.
y = 13

Simplifying
y = 13

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