-4(4Y-10)-Y=-4(Y-5)

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Solution for -4(4Y-10)-Y=-4(Y-5) equation: 


Simplifying
-4(4Y + -10) + -1Y = -4(Y + -5)

Reorder the terms:
-4(-10 + 4Y) + -1Y = -4(Y + -5)
(-10 * -4 + 4Y * -4) + -1Y = -4(Y + -5)
(40 + -16Y) + -1Y = -4(Y + -5)

Combine like terms: -16Y + -1Y = -17Y
40 + -17Y = -4(Y + -5)

Reorder the terms:
40 + -17Y = -4(-5 + Y)
40 + -17Y = (-5 * -4 + Y * -4)
40 + -17Y = (20 + -4Y)

Solving
40 + -17Y = 20 + -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.
40 + -17Y + 4Y = 20 + -4Y + 4Y

Combine like terms: -17Y + 4Y = -13Y
40 + -13Y = 20 + -4Y + 4Y

Combine like terms: -4Y + 4Y = 0
40 + -13Y = 20 + 0
40 + -13Y = 20

Add '-40' to each side of the equation.
40 + -40 + -13Y = 20 + -40

Combine like terms: 40 + -40 = 0
0 + -13Y = 20 + -40
-13Y = 20 + -40

Combine like terms: 20 + -40 = -20
-13Y = -20

Divide each side by '-13'.
Y = 1.538461538

Simplifying
Y = 1.538461538

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