8(y+9)=-3y-16

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Solution for 8(y+9)=-3y-16 equation:


Simplifying
8(y + 9) = -3y + -16

Reorder the terms:
8(9 + y) = -3y + -16
(9 * 8 + y * 8) = -3y + -16
(72 + 8y) = -3y + -16

Reorder the terms:
72 + 8y = -16 + -3y

Solving
72 + 8y = -16 + -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.
72 + 8y + 3y = -16 + -3y + 3y

Combine like terms: 8y + 3y = 11y
72 + 11y = -16 + -3y + 3y

Combine like terms: -3y + 3y = 0
72 + 11y = -16 + 0
72 + 11y = -16

Add '-72' to each side of the equation.
72 + -72 + 11y = -16 + -72

Combine like terms: 72 + -72 = 0
0 + 11y = -16 + -72
11y = -16 + -72

Combine like terms: -16 + -72 = -88
11y = -88

Divide each side by '11'.
y = -8

Simplifying
y = -8

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