5y-12=12y+15

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Solution for 5y-12=12y+15 equation:


Simplifying
5y + -12 = 12y + 15

Reorder the terms:
-12 + 5y = 12y + 15

Reorder the terms:
-12 + 5y = 15 + 12y

Solving
-12 + 5y = 15 + 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.
-12 + 5y + -12y = 15 + 12y + -12y

Combine like terms: 5y + -12y = -7y
-12 + -7y = 15 + 12y + -12y

Combine like terms: 12y + -12y = 0
-12 + -7y = 15 + 0
-12 + -7y = 15

Add '12' to each side of the equation.
-12 + 12 + -7y = 15 + 12

Combine like terms: -12 + 12 = 0
0 + -7y = 15 + 12
-7y = 15 + 12

Combine like terms: 15 + 12 = 27
-7y = 27

Divide each side by '-7'.
y = -3.857142857

Simplifying
y = -3.857142857

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