11(4-6y)+5(13Y+1)=1

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Solution for 11(4-6y)+5(13Y+1)=1 equation: 


Simplifying
11(4 + -6y) + 5(13Y + 1) = 1
(4 * 11 + -6y * 11) + 5(13Y + 1) = 1
(44 + -66y) + 5(13Y + 1) = 1

Reorder the terms:
44 + -66y + 5(1 + 13Y) = 1
44 + -66y + (1 * 5 + 13Y * 5) = 1
44 + -66y + (5 + 65Y) = 1

Reorder the terms:
44 + 5 + 65Y + -66y = 1

Combine like terms: 44 + 5 = 49
49 + 65Y + -66y = 1

Solving
49 + 65Y + -66y = 1

Solving for variable 'Y'.

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

Add '-49' to each side of the equation.
49 + 65Y + -49 + -66y = 1 + -49

Reorder the terms:
49 + -49 + 65Y + -66y = 1 + -49

Combine like terms: 49 + -49 = 0
0 + 65Y + -66y = 1 + -49
65Y + -66y = 1 + -49

Combine like terms: 1 + -49 = -48
65Y + -66y = -48

Add '66y' to each side of the equation.
65Y + -66y + 66y = -48 + 66y

Combine like terms: -66y + 66y = 0
65Y + 0 = -48 + 66y
65Y = -48 + 66y

Divide each side by '65'.
Y = -0.7384615385 + 1.015384615y

Simplifying
Y = -0.7384615385 + 1.015384615y

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