2y+9=8y-21

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Solution for 2y+9=8y-21 equation:


Simplifying
2y + 9 = 8y + -21

Reorder the terms:
9 + 2y = 8y + -21

Reorder the terms:
9 + 2y = -21 + 8y

Solving
9 + 2y = -21 + 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.
9 + 2y + -8y = -21 + 8y + -8y

Combine like terms: 2y + -8y = -6y
9 + -6y = -21 + 8y + -8y

Combine like terms: 8y + -8y = 0
9 + -6y = -21 + 0
9 + -6y = -21

Add '-9' to each side of the equation.
9 + -9 + -6y = -21 + -9

Combine like terms: 9 + -9 = 0
0 + -6y = -21 + -9
-6y = -21 + -9

Combine like terms: -21 + -9 = -30
-6y = -30

Divide each side by '-6'.
y = 5

Simplifying
y = 5

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