2y+17=3y+5

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Solution for 2y+17=3y+5 equation:


Simplifying
2y + 17 = 3y + 5

Reorder the terms:
17 + 2y = 3y + 5

Reorder the terms:
17 + 2y = 5 + 3y

Solving
17 + 2y = 5 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
17 + 2y + -3y = 5 + 3y + -3y

Combine like terms: 2y + -3y = -1y
17 + -1y = 5 + 3y + -3y

Combine like terms: 3y + -3y = 0
17 + -1y = 5 + 0
17 + -1y = 5

Add '-17' to each side of the equation.
17 + -17 + -1y = 5 + -17

Combine like terms: 17 + -17 = 0
0 + -1y = 5 + -17
-1y = 5 + -17

Combine like terms: 5 + -17 = -12
-1y = -12

Divide each side by '-1'.
y = 12

Simplifying
y = 12

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