9-5y=-8(5-y)

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


Simplifying
9 + -5y = -8(5 + -1y)
9 + -5y = (5 * -8 + -1y * -8)
9 + -5y = (-40 + 8y)

Solving
9 + -5y = -40 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
9 + -5y + -8y = -40 + 8y + -8y

Combine like terms: -5y + -8y = -13y
9 + -13y = -40 + 8y + -8y

Combine like terms: 8y + -8y = 0
9 + -13y = -40 + 0
9 + -13y = -40

Add '-9' to each side of the equation.
9 + -9 + -13y = -40 + -9

Combine like terms: 9 + -9 = 0
0 + -13y = -40 + -9
-13y = -40 + -9

Combine like terms: -40 + -9 = -49
-13y = -49

Divide each side by '-13'.
y = 3.769230769

Simplifying
y = 3.769230769

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