8-2y=3(y-4)

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Solution for 8-2y=3(y-4) equation:


Simplifying
8 + -2y = 3(y + -4)

Reorder the terms:
8 + -2y = 3(-4 + y)
8 + -2y = (-4 * 3 + y * 3)
8 + -2y = (-12 + 3y)

Solving
8 + -2y = -12 + 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.
8 + -2y + -3y = -12 + 3y + -3y

Combine like terms: -2y + -3y = -5y
8 + -5y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + -5y = -12 + 0
8 + -5y = -12

Add '-8' to each side of the equation.
8 + -8 + -5y = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -5y = -12 + -8
-5y = -12 + -8

Combine like terms: -12 + -8 = -20
-5y = -20

Divide each side by '-5'.
y = 4

Simplifying
y = 4

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