9y+2+3y+6=16y-12

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Solution for 9y+2+3y+6=16y-12 equation:


Simplifying
9y + 2 + 3y + 6 = 16y + -12

Reorder the terms:
2 + 6 + 9y + 3y = 16y + -12

Combine like terms: 2 + 6 = 8
8 + 9y + 3y = 16y + -12

Combine like terms: 9y + 3y = 12y
8 + 12y = 16y + -12

Reorder the terms:
8 + 12y = -12 + 16y

Solving
8 + 12y = -12 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
8 + 12y + -16y = -12 + 16y + -16y

Combine like terms: 12y + -16y = -4y
8 + -4y = -12 + 16y + -16y

Combine like terms: 16y + -16y = 0
8 + -4y = -12 + 0
8 + -4y = -12

Add '-8' to each side of the equation.
8 + -8 + -4y = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -4y = -12 + -8
-4y = -12 + -8

Combine like terms: -12 + -8 = -20
-4y = -20

Divide each side by '-4'.
y = 5

Simplifying
y = 5

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