91-109=-8(-4Y)-17(2Y)+Y

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Solution for 91-109=-8(-4Y)-17(2Y)+Y equation: 


Simplifying
91 + -109 = -8(-4Y) + -17(2Y) + Y

Combine like terms: 91 + -109 = -18
-18 = -8(-4Y) + -17(2Y) + Y

Remove parenthesis around (-4Y)
-18 = -8 * -4Y + -17(2Y) + Y

Multiply -8 * -4
-18 = 32Y + -17(2Y) + Y

Remove parenthesis around (2Y)
-18 = 32Y + -17 * 2Y + Y

Multiply -17 * 2
-18 = 32Y + -34Y + Y

Combine like terms: 32Y + -34Y = -2Y
-18 = -2Y + Y

Combine like terms: -2Y + Y = -1Y
-18 = -1Y

Solving
-18 = -1Y

Solving for variable 'Y'.

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

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

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

Add '18' to each side of the equation.
-18 + 18 + Y = 0 + 18

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

Combine like terms: 0 + 18 = 18
Y = 18

Simplifying
Y = 18

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