5y+17=2y-10

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Solution for 5y+17=2y-10 equation:


Simplifying
5y + 17 = 2y + -10

Reorder the terms:
17 + 5y = 2y + -10

Reorder the terms:
17 + 5y = -10 + 2y

Solving
17 + 5y = -10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
17 + 5y + -2y = -10 + 2y + -2y

Combine like terms: 5y + -2y = 3y
17 + 3y = -10 + 2y + -2y

Combine like terms: 2y + -2y = 0
17 + 3y = -10 + 0
17 + 3y = -10

Add '-17' to each side of the equation.
17 + -17 + 3y = -10 + -17

Combine like terms: 17 + -17 = 0
0 + 3y = -10 + -17
3y = -10 + -17

Combine like terms: -10 + -17 = -27
3y = -27

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

Simplifying
y = -9

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