9y+3=5(y-8)

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Solution for 9y+3=5(y-8) equation:


Simplifying
9y + 3 = 5(y + -8)

Reorder the terms:
3 + 9y = 5(y + -8)

Reorder the terms:
3 + 9y = 5(-8 + y)
3 + 9y = (-8 * 5 + y * 5)
3 + 9y = (-40 + 5y)

Solving
3 + 9y = -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.
3 + 9y + -5y = -40 + 5y + -5y

Combine like terms: 9y + -5y = 4y
3 + 4y = -40 + 5y + -5y

Combine like terms: 5y + -5y = 0
3 + 4y = -40 + 0
3 + 4y = -40

Add '-3' to each side of the equation.
3 + -3 + 4y = -40 + -3

Combine like terms: 3 + -3 = 0
0 + 4y = -40 + -3
4y = -40 + -3

Combine like terms: -40 + -3 = -43
4y = -43

Divide each side by '4'.
y = -10.75

Simplifying
y = -10.75

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