6y+2=9y+16

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


Simplifying
6y + 2 = 9y + 16

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

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

Solving
2 + 6y = 16 + 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.
2 + 6y + -9y = 16 + 9y + -9y

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

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

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

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

Combine like terms: 16 + -2 = 14
-3y = 14

Divide each side by '-3'.
y = -4.666666667

Simplifying
y = -4.666666667

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