5y+3=8y-21

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Solution for 5y+3=8y-21 equation:


Simplifying
5y + 3 = 8y + -21

Reorder the terms:
3 + 5y = 8y + -21

Reorder the terms:
3 + 5y = -21 + 8y

Solving
3 + 5y = -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.
3 + 5y + -8y = -21 + 8y + -8y

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

Combine like terms: 8y + -8y = 0
3 + -3y = -21 + 0
3 + -3y = -21

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

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

Combine like terms: -21 + -3 = -24
-3y = -24

Divide each side by '-3'.
y = 8

Simplifying
y = 8

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