-3(5Y-5)+Y=9+2(2Y-5)

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Solution for -3(5Y-5)+Y=9+2(2Y-5) equation: 


Simplifying
-3(5Y + -5) + Y = 9 + 2(2Y + -5)

Reorder the terms:
-3(-5 + 5Y) + Y = 9 + 2(2Y + -5)
(-5 * -3 + 5Y * -3) + Y = 9 + 2(2Y + -5)
(15 + -15Y) + Y = 9 + 2(2Y + -5)

Combine like terms: -15Y + Y = -14Y
15 + -14Y = 9 + 2(2Y + -5)

Reorder the terms:
15 + -14Y = 9 + 2(-5 + 2Y)
15 + -14Y = 9 + (-5 * 2 + 2Y * 2)
15 + -14Y = 9 + (-10 + 4Y)

Combine like terms: 9 + -10 = -1
15 + -14Y = -1 + 4Y

Solving
15 + -14Y = -1 + 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.
15 + -14Y + -4Y = -1 + 4Y + -4Y

Combine like terms: -14Y + -4Y = -18Y
15 + -18Y = -1 + 4Y + -4Y

Combine like terms: 4Y + -4Y = 0
15 + -18Y = -1 + 0
15 + -18Y = -1

Add '-15' to each side of the equation.
15 + -15 + -18Y = -1 + -15

Combine like terms: 15 + -15 = 0
0 + -18Y = -1 + -15
-18Y = -1 + -15

Combine like terms: -1 + -15 = -16
-18Y = -16

Divide each side by '-18'.
Y = 0.8888888889

Simplifying
Y = 0.8888888889

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