9y+13=12y-17

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Solution for 9y+13=12y-17 equation:


Simplifying
9y + 13 = 12y + -17

Reorder the terms:
13 + 9y = 12y + -17

Reorder the terms:
13 + 9y = -17 + 12y

Solving
13 + 9y = -17 + 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.
13 + 9y + -12y = -17 + 12y + -12y

Combine like terms: 9y + -12y = -3y
13 + -3y = -17 + 12y + -12y

Combine like terms: 12y + -12y = 0
13 + -3y = -17 + 0
13 + -3y = -17

Add '-13' to each side of the equation.
13 + -13 + -3y = -17 + -13

Combine like terms: 13 + -13 = 0
0 + -3y = -17 + -13
-3y = -17 + -13

Combine like terms: -17 + -13 = -30
-3y = -30

Divide each side by '-3'.
y = 10

Simplifying
y = 10

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