12y=(3y-8)*5

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Solution for 12y=(3y-8)*5 equation:


Simplifying
12y = (3y + -8) * 5

Reorder the terms:
12y = (-8 + 3y) * 5

Reorder the terms for easier multiplication:
12y = 5(-8 + 3y)
12y = (-8 * 5 + 3y * 5)
12y = (-40 + 15y)

Solving
12y = -40 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
12y + -15y = -40 + 15y + -15y

Combine like terms: 12y + -15y = -3y
-3y = -40 + 15y + -15y

Combine like terms: 15y + -15y = 0
-3y = -40 + 0
-3y = -40

Divide each side by '-3'.
y = 13.33333333

Simplifying
y = 13.33333333

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