(y-8)+24=3(y-6)

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Solution for (y-8)+24=3(y-6) equation: 


Simplifying
(y + -8) + 24 = 3(y + -6)

Reorder the terms:
(-8 + y) + 24 = 3(y + -6)

Remove parenthesis around (-8 + y)
-8 + y + 24 = 3(y + -6)

Reorder the terms:
-8 + 24 + y = 3(y + -6)

Combine like terms: -8 + 24 = 16
16 + y = 3(y + -6)

Reorder the terms:
16 + y = 3(-6 + y)
16 + y = (-6 * 3 + y * 3)
16 + y = (-18 + 3y)

Solving
16 + y = -18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
16 + y + -3y = -18 + 3y + -3y

Combine like terms: y + -3y = -2y
16 + -2y = -18 + 3y + -3y

Combine like terms: 3y + -3y = 0
16 + -2y = -18 + 0
16 + -2y = -18

Add '-16' to each side of the equation.
16 + -16 + -2y = -18 + -16

Combine like terms: 16 + -16 = 0
0 + -2y = -18 + -16
-2y = -18 + -16

Combine like terms: -18 + -16 = -34
-2y = -34

Divide each side by '-2'.
y = 17

Simplifying
y = 17

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