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

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


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

Reorder the terms:
2y + 2(-8 + y) = 5y + -3(y + -10)
2y + (-8 * 2 + y * 2) = 5y + -3(y + -10)
2y + (-16 + 2y) = 5y + -3(y + -10)

Reorder the terms:
-16 + 2y + 2y = 5y + -3(y + -10)

Combine like terms: 2y + 2y = 4y
-16 + 4y = 5y + -3(y + -10)

Reorder the terms:
-16 + 4y = 5y + -3(-10 + y)
-16 + 4y = 5y + (-10 * -3 + y * -3)
-16 + 4y = 5y + (30 + -3y)

Reorder the terms:
-16 + 4y = 30 + 5y + -3y

Combine like terms: 5y + -3y = 2y
-16 + 4y = 30 + 2y

Solving
-16 + 4y = 30 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-16 + 4y + -2y = 30 + 2y + -2y

Combine like terms: 4y + -2y = 2y
-16 + 2y = 30 + 2y + -2y

Combine like terms: 2y + -2y = 0
-16 + 2y = 30 + 0
-16 + 2y = 30

Add '16' to each side of the equation.
-16 + 16 + 2y = 30 + 16

Combine like terms: -16 + 16 = 0
0 + 2y = 30 + 16
2y = 30 + 16

Combine like terms: 30 + 16 = 46
2y = 46

Divide each side by '2'.
y = 23

Simplifying
y = 23

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