5y-12=3y+7

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Solution for 5y-12=3y+7 equation:


Simplifying
5y + -12 = 3y + 7

Reorder the terms:
-12 + 5y = 3y + 7

Reorder the terms:
-12 + 5y = 7 + 3y

Solving
-12 + 5y = 7 + 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 = 7 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-12 + 2y = 7 + 3y + -3y

Combine like terms: 3y + -3y = 0
-12 + 2y = 7 + 0
-12 + 2y = 7

Add '12' to each side of the equation.
-12 + 12 + 2y = 7 + 12

Combine like terms: -12 + 12 = 0
0 + 2y = 7 + 12
2y = 7 + 12

Combine like terms: 7 + 12 = 19
2y = 19

Divide each side by '2'.
y = 9.5

Simplifying
y = 9.5

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