-1-1*(y-3(y-4*(y-5)))=11*(12-2y)+y

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Solution for -1-1*(y-3(y-4*(y-5)))=11*(12-2y)+y equation:


Simplifying
-1 + -1(y + -3(y + -4(y + -5))) = 11(12 + -2y) + y

Reorder the terms:
-1 + -1(y + -3(y + -4(-5 + y))) = 11(12 + -2y) + y
-1 + -1(y + -3(y + (-5 * -4 + y * -4))) = 11(12 + -2y) + y
-1 + -1(y + -3(y + (20 + -4y))) = 11(12 + -2y) + y

Reorder the terms:
-1 + -1(y + -3(20 + y + -4y)) = 11(12 + -2y) + y

Combine like terms: y + -4y = -3y
-1 + -1(y + -3(20 + -3y)) = 11(12 + -2y) + y
-1 + -1(y + (20 * -3 + -3y * -3)) = 11(12 + -2y) + y
-1 + -1(y + (-60 + 9y)) = 11(12 + -2y) + y

Reorder the terms:
-1 + -1(-60 + y + 9y) = 11(12 + -2y) + y

Combine like terms: y + 9y = 10y
-1 + -1(-60 + 10y) = 11(12 + -2y) + y
-1 + (-60 * -1 + 10y * -1) = 11(12 + -2y) + y
-1 + (60 + -10y) = 11(12 + -2y) + y

Combine like terms: -1 + 60 = 59
59 + -10y = 11(12 + -2y) + y
59 + -10y = (12 * 11 + -2y * 11) + y
59 + -10y = (132 + -22y) + y

Combine like terms: -22y + y = -21y
59 + -10y = 132 + -21y

Solving
59 + -10y = 132 + -21y

Solving for variable 'y'.

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

Add '21y' to each side of the equation.
59 + -10y + 21y = 132 + -21y + 21y

Combine like terms: -10y + 21y = 11y
59 + 11y = 132 + -21y + 21y

Combine like terms: -21y + 21y = 0
59 + 11y = 132 + 0
59 + 11y = 132

Add '-59' to each side of the equation.
59 + -59 + 11y = 132 + -59

Combine like terms: 59 + -59 = 0
0 + 11y = 132 + -59
11y = 132 + -59

Combine like terms: 132 + -59 = 73
11y = 73

Divide each side by '11'.
y = 6.636363636

Simplifying
y = 6.636363636

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