6y-5=3y-12

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Solution for 6y-5=3y-12 equation:


Simplifying
6y + -5 = 3y + -12

Reorder the terms:
-5 + 6y = 3y + -12

Reorder the terms:
-5 + 6y = -12 + 3y

Solving
-5 + 6y = -12 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-5 + 6y + -3y = -12 + 3y + -3y

Combine like terms: 6y + -3y = 3y
-5 + 3y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
-5 + 3y = -12 + 0
-5 + 3y = -12

Add '5' to each side of the equation.
-5 + 5 + 3y = -12 + 5

Combine like terms: -5 + 5 = 0
0 + 3y = -12 + 5
3y = -12 + 5

Combine like terms: -12 + 5 = -7
3y = -7

Divide each side by '3'.
y = -2.333333333

Simplifying
y = -2.333333333

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