5y-12=2y-15

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Solution for 5y-12=2y-15 equation:


Simplifying
5y + -12 = 2y + -15

Reorder the terms:
-12 + 5y = 2y + -15

Reorder the terms:
-12 + 5y = -15 + 2y

Solving
-12 + 5y = -15 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-12 + 5y + -2y = -15 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-12 + 3y = -15 + 2y + -2y

Combine like terms: 2y + -2y = 0
-12 + 3y = -15 + 0
-12 + 3y = -15

Add '12' to each side of the equation.
-12 + 12 + 3y = -15 + 12

Combine like terms: -12 + 12 = 0
0 + 3y = -15 + 12
3y = -15 + 12

Combine like terms: -15 + 12 = -3
3y = -3

Divide each side by '3'.
y = -1

Simplifying
y = -1

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