5(y-1)=3y-17

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Solution for 5(y-1)=3y-17 equation:


Simplifying
5(y + -1) = 3y + -17

Reorder the terms:
5(-1 + y) = 3y + -17
(-1 * 5 + y * 5) = 3y + -17
(-5 + 5y) = 3y + -17

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

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

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

Combine like terms: 3y + -3y = 0
-5 + 2y = -17 + 0
-5 + 2y = -17

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

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

Combine like terms: -17 + 5 = -12
2y = -12

Divide each side by '2'.
y = -6

Simplifying
y = -6

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