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

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


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

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

Combine like terms: -8Y + -1Y = -9Y
20 + -9Y = -3(Y + -3)

Reorder the terms:
20 + -9Y = -3(-3 + Y)
20 + -9Y = (-3 * -3 + Y * -3)
20 + -9Y = (9 + -3Y)

Solving
20 + -9Y = 9 + -3Y

Solving for variable 'Y'.

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

Add '3Y' to each side of the equation.
20 + -9Y + 3Y = 9 + -3Y + 3Y

Combine like terms: -9Y + 3Y = -6Y
20 + -6Y = 9 + -3Y + 3Y

Combine like terms: -3Y + 3Y = 0
20 + -6Y = 9 + 0
20 + -6Y = 9

Add '-20' to each side of the equation.
20 + -20 + -6Y = 9 + -20

Combine like terms: 20 + -20 = 0
0 + -6Y = 9 + -20
-6Y = 9 + -20

Combine like terms: 9 + -20 = -11
-6Y = -11

Divide each side by '-6'.
Y = 1.833333333

Simplifying
Y = 1.833333333

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