6y+16=9y-2

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Solution for 6y+16=9y-2 equation:


Simplifying
6y + 16 = 9y + -2

Reorder the terms:
16 + 6y = 9y + -2

Reorder the terms:
16 + 6y = -2 + 9y

Solving
16 + 6y = -2 + 9y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-9y' to each side of the equation.
16 + 6y + -9y = -2 + 9y + -9y

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

Combine like terms: 9y + -9y = 0
16 + -3y = -2 + 0
16 + -3y = -2

Add '-16' to each side of the equation.
16 + -16 + -3y = -2 + -16

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

Combine like terms: -2 + -16 = -18
-3y = -18

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

Simplifying
y = 6

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