y+13=5y-23

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Solution for y+13=5y-23 equation: 


Simplifying
y + 13 = 5y + -23

Reorder the terms:
13 + y = 5y + -23

Reorder the terms:
13 + y = -23 + 5y

Solving
13 + y = -23 + 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.
13 + y + -5y = -23 + 5y + -5y

Combine like terms: y + -5y = -4y
13 + -4y = -23 + 5y + -5y

Combine like terms: 5y + -5y = 0
13 + -4y = -23 + 0
13 + -4y = -23

Add '-13' to each side of the equation.
13 + -13 + -4y = -23 + -13

Combine like terms: 13 + -13 = 0
0 + -4y = -23 + -13
-4y = -23 + -13

Combine like terms: -23 + -13 = -36
-4y = -36

Divide each side by '-4'.
y = 9

Simplifying
y = 9

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