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

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


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

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

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

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

Reorder the terms:
-4 + 4Y = 4Y + -2(-10 + Y)
-4 + 4Y = 4Y + (-10 * -2 + Y * -2)
-4 + 4Y = 4Y + (20 + -2Y)

Reorder the terms:
-4 + 4Y = 20 + 4Y + -2Y

Combine like terms: 4Y + -2Y = 2Y
-4 + 4Y = 20 + 2Y

Solving
-4 + 4Y = 20 + 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.
-4 + 4Y + -2Y = 20 + 2Y + -2Y

Combine like terms: 4Y + -2Y = 2Y
-4 + 2Y = 20 + 2Y + -2Y

Combine like terms: 2Y + -2Y = 0
-4 + 2Y = 20 + 0
-4 + 2Y = 20

Add '4' to each side of the equation.
-4 + 4 + 2Y = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 2Y = 20 + 4
2Y = 20 + 4

Combine like terms: 20 + 4 = 24
2Y = 24

Divide each side by '2'.
Y = 12

Simplifying
Y = 12

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