(y+5)-8=2(y-8)

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Solution for (y+5)-8=2(y-8) equation:


Simplifying
(y + 5) + -8 = 2(y + -8)

Reorder the terms:
(5 + y) + -8 = 2(y + -8)

Remove parenthesis around (5 + y)
5 + y + -8 = 2(y + -8)

Reorder the terms:
5 + -8 + y = 2(y + -8)

Combine like terms: 5 + -8 = -3
-3 + y = 2(y + -8)

Reorder the terms:
-3 + y = 2(-8 + y)
-3 + y = (-8 * 2 + y * 2)
-3 + y = (-16 + 2y)

Solving
-3 + y = -16 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-3 + y + -2y = -16 + 2y + -2y

Combine like terms: y + -2y = -1y
-3 + -1y = -16 + 2y + -2y

Combine like terms: 2y + -2y = 0
-3 + -1y = -16 + 0
-3 + -1y = -16

Add '3' to each side of the equation.
-3 + 3 + -1y = -16 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = -16 + 3
-1y = -16 + 3

Combine like terms: -16 + 3 = -13
-1y = -13

Divide each side by '-1'.
y = 13

Simplifying
y = 13

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