12y-9=16y+19

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Solution for 12y-9=16y+19 equation:


Simplifying
12y + -9 = 16y + 19

Reorder the terms:
-9 + 12y = 16y + 19

Reorder the terms:
-9 + 12y = 19 + 16y

Solving
-9 + 12y = 19 + 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.
-9 + 12y + -16y = 19 + 16y + -16y

Combine like terms: 12y + -16y = -4y
-9 + -4y = 19 + 16y + -16y

Combine like terms: 16y + -16y = 0
-9 + -4y = 19 + 0
-9 + -4y = 19

Add '9' to each side of the equation.
-9 + 9 + -4y = 19 + 9

Combine like terms: -9 + 9 = 0
0 + -4y = 19 + 9
-4y = 19 + 9

Combine like terms: 19 + 9 = 28
-4y = 28

Divide each side by '-4'.
y = -7

Simplifying
y = -7

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