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

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


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

Reorder the terms:
2y + 3(-8 + y) = 5y + -2(y + -10)
2y + (-8 * 3 + y * 3) = 5y + -2(y + -10)
2y + (-24 + 3y) = 5y + -2(y + -10)

Reorder the terms:
-24 + 2y + 3y = 5y + -2(y + -10)

Combine like terms: 2y + 3y = 5y
-24 + 5y = 5y + -2(y + -10)

Reorder the terms:
-24 + 5y = 5y + -2(-10 + y)
-24 + 5y = 5y + (-10 * -2 + y * -2)
-24 + 5y = 5y + (20 + -2y)

Reorder the terms:
-24 + 5y = 20 + 5y + -2y

Combine like terms: 5y + -2y = 3y
-24 + 5y = 20 + 3y

Solving
-24 + 5y = 20 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-24 + 5y + -3y = 20 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-24 + 2y = 20 + 3y + -3y

Combine like terms: 3y + -3y = 0
-24 + 2y = 20 + 0
-24 + 2y = 20

Add '24' to each side of the equation.
-24 + 24 + 2y = 20 + 24

Combine like terms: -24 + 24 = 0
0 + 2y = 20 + 24
2y = 20 + 24

Combine like terms: 20 + 24 = 44
2y = 44

Divide each side by '2'.
y = 22

Simplifying
y = 22

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