9y+16=3y-2

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Solution for 9y+16=3y-2 equation:


Simplifying
9y + 16 = 3y + -2

Reorder the terms:
16 + 9y = 3y + -2

Reorder the terms:
16 + 9y = -2 + 3y

Solving
16 + 9y = -2 + 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 + 9y + -3y = -2 + 3y + -3y

Combine like terms: 9y + -3y = 6y
16 + 6y = -2 + 3y + -3y

Combine like terms: 3y + -3y = 0
16 + 6y = -2 + 0
16 + 6y = -2

Add '-16' to each side of the equation.
16 + -16 + 6y = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 6y = -2 + -16
6y = -2 + -16

Combine like terms: -2 + -16 = -18
6y = -18

Divide each side by '6'.
y = -3

Simplifying
y = -3

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