-4(5Y-2)-Y=-4(y-3)

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Solution for -4(5Y-2)-Y=-4(y-3) equation: 


Simplifying
-4(5Y + -2) + -1Y = -4(y + -3)

Reorder the terms:
-4(-2 + 5Y) + -1Y = -4(y + -3)
(-2 * -4 + 5Y * -4) + -1Y = -4(y + -3)
(8 + -20Y) + -1Y = -4(y + -3)

Combine like terms: -20Y + -1Y = -21Y
8 + -21Y = -4(y + -3)

Reorder the terms:
8 + -21Y = -4(-3 + y)
8 + -21Y = (-3 * -4 + y * -4)
8 + -21Y = (12 + -4y)

Solving
8 + -21Y = 12 + -4y

Solving for variable 'Y'.

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

Add '-8' to each side of the equation.
8 + -8 + -21Y = 12 + -8 + -4y

Combine like terms: 8 + -8 = 0
0 + -21Y = 12 + -8 + -4y
-21Y = 12 + -8 + -4y

Combine like terms: 12 + -8 = 4
-21Y = 4 + -4y

Divide each side by '-21'.
Y = -0.1904761905 + 0.1904761905y

Simplifying
Y = -0.1904761905 + 0.1904761905y

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