3(y-8)=5y-40

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Solution for 3(y-8)=5y-40 equation: 


Simplifying
3(y + -8) = 5y + -40

Reorder the terms:
3(-8 + y) = 5y + -40
(-8 * 3 + y * 3) = 5y + -40
(-24 + 3y) = 5y + -40

Reorder the terms:
-24 + 3y = -40 + 5y

Solving
-24 + 3y = -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.
-24 + 3y + -5y = -40 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-24 + -2y = -40 + 5y + -5y

Combine like terms: 5y + -5y = 0
-24 + -2y = -40 + 0
-24 + -2y = -40

Add '24' to each side of the equation.
-24 + 24 + -2y = -40 + 24

Combine like terms: -24 + 24 = 0
0 + -2y = -40 + 24
-2y = -40 + 24

Combine like terms: -40 + 24 = -16
-2y = -16

Divide each side by '-2'.
y = 8

Simplifying
y = 8

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