5y+12=3y-2

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Solution for 5y+12=3y-2 equation:


Simplifying
5y + 12 = 3y + -2

Reorder the terms:
12 + 5y = 3y + -2

Reorder the terms:
12 + 5y = -2 + 3y

Solving
12 + 5y = -2 + 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.
12 + 5y + -3y = -2 + 3y + -3y

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

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

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

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

Combine like terms: -2 + -12 = -14
2y = -14

Divide each side by '2'.
y = -7

Simplifying
y = -7

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