4Y+2(Y-4)=8Y-4(Y-10)

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Solution for 4Y+2(Y-4)=8Y-4(Y-10) equation: 


Simplifying
4Y + 2(Y + -4) = 8Y + -4(Y + -10)

Reorder the terms:
4Y + 2(-4 + Y) = 8Y + -4(Y + -10)
4Y + (-4 * 2 + Y * 2) = 8Y + -4(Y + -10)
4Y + (-8 + 2Y) = 8Y + -4(Y + -10)

Reorder the terms:
-8 + 4Y + 2Y = 8Y + -4(Y + -10)

Combine like terms: 4Y + 2Y = 6Y
-8 + 6Y = 8Y + -4(Y + -10)

Reorder the terms:
-8 + 6Y = 8Y + -4(-10 + Y)
-8 + 6Y = 8Y + (-10 * -4 + Y * -4)
-8 + 6Y = 8Y + (40 + -4Y)

Reorder the terms:
-8 + 6Y = 40 + 8Y + -4Y

Combine like terms: 8Y + -4Y = 4Y
-8 + 6Y = 40 + 4Y

Solving
-8 + 6Y = 40 + 4Y

Solving for variable 'Y'.

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

Add '-4Y' to each side of the equation.
-8 + 6Y + -4Y = 40 + 4Y + -4Y

Combine like terms: 6Y + -4Y = 2Y
-8 + 2Y = 40 + 4Y + -4Y

Combine like terms: 4Y + -4Y = 0
-8 + 2Y = 40 + 0
-8 + 2Y = 40

Add '8' to each side of the equation.
-8 + 8 + 2Y = 40 + 8

Combine like terms: -8 + 8 = 0
0 + 2Y = 40 + 8
2Y = 40 + 8

Combine like terms: 40 + 8 = 48
2Y = 48

Divide each side by '2'.
Y = 24

Simplifying
Y = 24

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