2y-9=5(y-8)

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Solution for 2y-9=5(y-8) equation:


Simplifying
2y + -9 = 5(y + -8)

Reorder the terms:
-9 + 2y = 5(y + -8)

Reorder the terms:
-9 + 2y = 5(-8 + y)
-9 + 2y = (-8 * 5 + y * 5)
-9 + 2y = (-40 + 5y)

Solving
-9 + 2y = -40 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-9 + 2y + -5y = -40 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-9 + -3y = -40 + 5y + -5y

Combine like terms: 5y + -5y = 0
-9 + -3y = -40 + 0
-9 + -3y = -40

Add '9' to each side of the equation.
-9 + 9 + -3y = -40 + 9

Combine like terms: -9 + 9 = 0
0 + -3y = -40 + 9
-3y = -40 + 9

Combine like terms: -40 + 9 = -31
-3y = -31

Divide each side by '-3'.
y = 10.33333333

Simplifying
y = 10.33333333

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