53+5y-23=15y-12-3y

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Solution for 53+5y-23=15y-12-3y equation:


Simplifying
53 + 5y + -23 = 15y + -12 + -3y

Reorder the terms:
53 + -23 + 5y = 15y + -12 + -3y

Combine like terms: 53 + -23 = 30
30 + 5y = 15y + -12 + -3y

Reorder the terms:
30 + 5y = -12 + 15y + -3y

Combine like terms: 15y + -3y = 12y
30 + 5y = -12 + 12y

Solving
30 + 5y = -12 + 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.
30 + 5y + -12y = -12 + 12y + -12y

Combine like terms: 5y + -12y = -7y
30 + -7y = -12 + 12y + -12y

Combine like terms: 12y + -12y = 0
30 + -7y = -12 + 0
30 + -7y = -12

Add '-30' to each side of the equation.
30 + -30 + -7y = -12 + -30

Combine like terms: 30 + -30 = 0
0 + -7y = -12 + -30
-7y = -12 + -30

Combine like terms: -12 + -30 = -42
-7y = -42

Divide each side by '-7'.
y = 6

Simplifying
y = 6

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