3y+8=2(y-4)

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


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

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

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

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

Combine like terms: 3y + -2y = 1y
8 + 1y = -8 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + 1y = -8 + 0
8 + 1y = -8

Add '-8' to each side of the equation.
8 + -8 + 1y = -8 + -8

Combine like terms: 8 + -8 = 0
0 + 1y = -8 + -8
1y = -8 + -8

Combine like terms: -8 + -8 = -16
1y = -16

Divide each side by '1'.
y = -16

Simplifying
y = -16

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