3y+5=6y-22

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Solution for 3y+5=6y-22 equation:


Simplifying
3y + 5 = 6y + -22

Reorder the terms:
5 + 3y = 6y + -22

Reorder the terms:
5 + 3y = -22 + 6y

Solving
5 + 3y = -22 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
5 + 3y + -6y = -22 + 6y + -6y

Combine like terms: 3y + -6y = -3y
5 + -3y = -22 + 6y + -6y

Combine like terms: 6y + -6y = 0
5 + -3y = -22 + 0
5 + -3y = -22

Add '-5' to each side of the equation.
5 + -5 + -3y = -22 + -5

Combine like terms: 5 + -5 = 0
0 + -3y = -22 + -5
-3y = -22 + -5

Combine like terms: -22 + -5 = -27
-3y = -27

Divide each side by '-3'.
y = 9

Simplifying
y = 9

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