3y+9=12y+13

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Solution for 3y+9=12y+13 equation:


Simplifying
3y + 9 = 12y + 13

Reorder the terms:
9 + 3y = 12y + 13

Reorder the terms:
9 + 3y = 13 + 12y

Solving
9 + 3y = 13 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
9 + 3y + -12y = 13 + 12y + -12y

Combine like terms: 3y + -12y = -9y
9 + -9y = 13 + 12y + -12y

Combine like terms: 12y + -12y = 0
9 + -9y = 13 + 0
9 + -9y = 13

Add '-9' to each side of the equation.
9 + -9 + -9y = 13 + -9

Combine like terms: 9 + -9 = 0
0 + -9y = 13 + -9
-9y = 13 + -9

Combine like terms: 13 + -9 = 4
-9y = 4

Divide each side by '-9'.
y = -0.4444444444

Simplifying
y = -0.4444444444

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