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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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