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

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


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

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

Reorder the terms:
-4 + 2y = -3(8 + y)
-4 + 2y = (8 * -3 + y * -3)
-4 + 2y = (-24 + -3y)

Solving
-4 + 2y = -24 + -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.
-4 + 2y + 3y = -24 + -3y + 3y

Combine like terms: 2y + 3y = 5y
-4 + 5y = -24 + -3y + 3y

Combine like terms: -3y + 3y = 0
-4 + 5y = -24 + 0
-4 + 5y = -24

Add '4' to each side of the equation.
-4 + 4 + 5y = -24 + 4

Combine like terms: -4 + 4 = 0
0 + 5y = -24 + 4
5y = -24 + 4

Combine like terms: -24 + 4 = -20
5y = -20

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

Simplifying
y = -4

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