9-5y=3(y-5)

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


Simplifying
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 = -8y
9 + -8y = -15 + 3y + -3y

Combine like terms: 3y + -3y = 0
9 + -8y = -15 + 0
9 + -8y = -15

Add '-9' to each side of the equation.
9 + -9 + -8y = -15 + -9

Combine like terms: 9 + -9 = 0
0 + -8y = -15 + -9
-8y = -15 + -9

Combine like terms: -15 + -9 = -24
-8y = -24

Divide each side by '-8'.
y = 3

Simplifying
y = 3

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