2y-5=5y-17

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Solution for 2y-5=5y-17 equation:


Simplifying
2y + -5 = 5y + -17

Reorder the terms:
-5 + 2y = 5y + -17

Reorder the terms:
-5 + 2y = -17 + 5y

Solving
-5 + 2y = -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.
-5 + 2y + -5y = -17 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
-5 + -3y = -17 + 0
-5 + -3y = -17

Add '5' to each side of the equation.
-5 + 5 + -3y = -17 + 5

Combine like terms: -5 + 5 = 0
0 + -3y = -17 + 5
-3y = -17 + 5

Combine like terms: -17 + 5 = -12
-3y = -12

Divide each side by '-3'.
y = 4

Simplifying
y = 4

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