5y-17=3(y-9)

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Solution for 5y-17=3(y-9) equation:


Simplifying
5y + -17 = 3(y + -9)

Reorder the terms:
-17 + 5y = 3(y + -9)

Reorder the terms:
-17 + 5y = 3(-9 + y)
-17 + 5y = (-9 * 3 + y * 3)
-17 + 5y = (-27 + 3y)

Solving
-17 + 5y = -27 + 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 + 5y + -3y = -27 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-17 + 2y = -27 + 3y + -3y

Combine like terms: 3y + -3y = 0
-17 + 2y = -27 + 0
-17 + 2y = -27

Add '17' to each side of the equation.
-17 + 17 + 2y = -27 + 17

Combine like terms: -17 + 17 = 0
0 + 2y = -27 + 17
2y = -27 + 17

Combine like terms: -27 + 17 = -10
2y = -10

Divide each side by '2'.
y = -5

Simplifying
y = -5

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