2(y-5)=5(y-8)

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


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

Reorder the terms:
2(-5 + y) = 5(y + -8)
(-5 * 2 + y * 2) = 5(y + -8)
(-10 + 2y) = 5(y + -8)

Reorder the terms:
-10 + 2y = 5(-8 + y)
-10 + 2y = (-8 * 5 + y * 5)
-10 + 2y = (-40 + 5y)

Solving
-10 + 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.
-10 + 2y + -5y = -40 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-10 + -3y = -40 + 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + -3y = -40 + 0
-10 + -3y = -40

Add '10' to each side of the equation.
-10 + 10 + -3y = -40 + 10

Combine like terms: -10 + 10 = 0
0 + -3y = -40 + 10
-3y = -40 + 10

Combine like terms: -40 + 10 = -30
-3y = -30

Divide each side by '-3'.
y = 10

Simplifying
y = 10

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