5y-12=8y+24

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Solution for 5y-12=8y+24 equation:


Simplifying
5y + -12 = 8y + 24

Reorder the terms:
-12 + 5y = 8y + 24

Reorder the terms:
-12 + 5y = 24 + 8y

Solving
-12 + 5y = 24 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-12 + 5y + -8y = 24 + 8y + -8y

Combine like terms: 5y + -8y = -3y
-12 + -3y = 24 + 8y + -8y

Combine like terms: 8y + -8y = 0
-12 + -3y = 24 + 0
-12 + -3y = 24

Add '12' to each side of the equation.
-12 + 12 + -3y = 24 + 12

Combine like terms: -12 + 12 = 0
0 + -3y = 24 + 12
-3y = 24 + 12

Combine like terms: 24 + 12 = 36
-3y = 36

Divide each side by '-3'.
y = -12

Simplifying
y = -12

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