-4(2-Y)=2(4-3Y)-6

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Solution for -4(2-Y)=2(4-3Y)-6 equation: 


Simplifying
-4(2 + -1Y) = 2(4 + -3Y) + -6
(2 * -4 + -1Y * -4) = 2(4 + -3Y) + -6
(-8 + 4Y) = 2(4 + -3Y) + -6
-8 + 4Y = (4 * 2 + -3Y * 2) + -6
-8 + 4Y = (8 + -6Y) + -6

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

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

Solving
-8 + 4Y = 2 + -6Y

Solving for variable 'Y'.

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

Add '6Y' to each side of the equation.
-8 + 4Y + 6Y = 2 + -6Y + 6Y

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

Combine like terms: -6Y + 6Y = 0
-8 + 10Y = 2 + 0
-8 + 10Y = 2

Add '8' to each side of the equation.
-8 + 8 + 10Y = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 10Y = 2 + 8
10Y = 2 + 8

Combine like terms: 2 + 8 = 10
10Y = 10

Divide each side by '10'.
Y = 1

Simplifying
Y = 1

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