5y-9=3(y-5)

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


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

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

Reorder the terms:
-9 + 5y = 3(-5 + y)
-9 + 5y = (-5 * 3 + y * 3)
-9 + 5y = (-15 + 3y)

Solving
-9 + 5y = -15 + 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.
-9 + 5y + -3y = -15 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-9 + 2y = -15 + 3y + -3y

Combine like terms: 3y + -3y = 0
-9 + 2y = -15 + 0
-9 + 2y = -15

Add '9' to each side of the equation.
-9 + 9 + 2y = -15 + 9

Combine like terms: -9 + 9 = 0
0 + 2y = -15 + 9
2y = -15 + 9

Combine like terms: -15 + 9 = -6
2y = -6

Divide each side by '2'.
y = -3

Simplifying
y = -3

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