8y+12=5y-21

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Solution for 8y+12=5y-21 equation: 


Simplifying
8y + 12 = 5y + -21

Reorder the terms:
12 + 8y = 5y + -21

Reorder the terms:
12 + 8y = -21 + 5y

Solving
12 + 8y = -21 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
12 + 8y + -5y = -21 + 5y + -5y

Combine like terms: 8y + -5y = 3y
12 + 3y = -21 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + 3y = -21 + 0
12 + 3y = -21

Add '-12' to each side of the equation.
12 + -12 + 3y = -21 + -12

Combine like terms: 12 + -12 = 0
0 + 3y = -21 + -12
3y = -21 + -12

Combine like terms: -21 + -12 = -33
3y = -33

Divide each side by '3'.
y = -11

Simplifying
y = -11

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