2y+5(y-8)=8y-3(y-10)

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Solution for 2y+5(y-8)=8y-3(y-10) equation: 


Simplifying
2y + 5(y + -8) = 8y + -3(y + -10)

Reorder the terms:
2y + 5(-8 + y) = 8y + -3(y + -10)
2y + (-8 * 5 + y * 5) = 8y + -3(y + -10)
2y + (-40 + 5y) = 8y + -3(y + -10)

Reorder the terms:
-40 + 2y + 5y = 8y + -3(y + -10)

Combine like terms: 2y + 5y = 7y
-40 + 7y = 8y + -3(y + -10)

Reorder the terms:
-40 + 7y = 8y + -3(-10 + y)
-40 + 7y = 8y + (-10 * -3 + y * -3)
-40 + 7y = 8y + (30 + -3y)

Reorder the terms:
-40 + 7y = 30 + 8y + -3y

Combine like terms: 8y + -3y = 5y
-40 + 7y = 30 + 5y

Solving
-40 + 7y = 30 + 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.
-40 + 7y + -5y = 30 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-40 + 2y = 30 + 5y + -5y

Combine like terms: 5y + -5y = 0
-40 + 2y = 30 + 0
-40 + 2y = 30

Add '40' to each side of the equation.
-40 + 40 + 2y = 30 + 40

Combine like terms: -40 + 40 = 0
0 + 2y = 30 + 40
2y = 30 + 40

Combine like terms: 30 + 40 = 70
2y = 70

Divide each side by '2'.
y = 35

Simplifying
y = 35

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