3y-23=5y+17

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Solution for 3y-23=5y+17 equation:


Simplifying
3y + -23 = 5y + 17

Reorder the terms:
-23 + 3y = 5y + 17

Reorder the terms:
-23 + 3y = 17 + 5y

Solving
-23 + 3y = 17 + 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.
-23 + 3y + -5y = 17 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-23 + -2y = 17 + 5y + -5y

Combine like terms: 5y + -5y = 0
-23 + -2y = 17 + 0
-23 + -2y = 17

Add '23' to each side of the equation.
-23 + 23 + -2y = 17 + 23

Combine like terms: -23 + 23 = 0
0 + -2y = 17 + 23
-2y = 17 + 23

Combine like terms: 17 + 23 = 40
-2y = 40

Divide each side by '-2'.
y = -20

Simplifying
y = -20

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