2y+16=-3(y+8)

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Solution for 2y+16=-3(y+8) equation:


Simplifying
2y + 16 = -3(y + 8)

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

Reorder the terms:
16 + 2y = -3(8 + y)
16 + 2y = (8 * -3 + y * -3)
16 + 2y = (-24 + -3y)

Solving
16 + 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.
16 + 2y + 3y = -24 + -3y + 3y

Combine like terms: 2y + 3y = 5y
16 + 5y = -24 + -3y + 3y

Combine like terms: -3y + 3y = 0
16 + 5y = -24 + 0
16 + 5y = -24

Add '-16' to each side of the equation.
16 + -16 + 5y = -24 + -16

Combine like terms: 16 + -16 = 0
0 + 5y = -24 + -16
5y = -24 + -16

Combine like terms: -24 + -16 = -40
5y = -40

Divide each side by '5'.
y = -8

Simplifying
y = -8

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