5y-12=10y+53

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Solution for 5y-12=10y+53 equation:


Simplifying
5y + -12 = 10y + 53

Reorder the terms:
-12 + 5y = 10y + 53

Reorder the terms:
-12 + 5y = 53 + 10y

Solving
-12 + 5y = 53 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-12 + 5y + -10y = 53 + 10y + -10y

Combine like terms: 5y + -10y = -5y
-12 + -5y = 53 + 10y + -10y

Combine like terms: 10y + -10y = 0
-12 + -5y = 53 + 0
-12 + -5y = 53

Add '12' to each side of the equation.
-12 + 12 + -5y = 53 + 12

Combine like terms: -12 + 12 = 0
0 + -5y = 53 + 12
-5y = 53 + 12

Combine like terms: 53 + 12 = 65
-5y = 65

Divide each side by '-5'.
y = -13

Simplifying
y = -13

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