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Simplifying 5 + -2y + -1[8 + -1(4y + -3) + 14y] = 15y + -1[-8 + (2y + -5) + 11y] Reorder the terms: 5 + -2y + -1[8 + -1(-3 + 4y) + 14y] = 15y + -1[-8 + (2y + -5) + 11y] 5 + -2y + -1[8 + (-3 * -1 + 4y * -1) + 14y] = 15y + -1[-8 + (2y + -5) + 11y] 5 + -2y + -1[8 + (3 + -4y) + 14y] = 15y + -1[-8 + (2y + -5) + 11y] Combine like terms: 8 + 3 = 11 5 + -2y + -1[11 + -4y + 14y] = 15y + -1[-8 + (2y + -5) + 11y] Combine like terms: -4y + 14y = 10y 5 + -2y + -1[11 + 10y] = 15y + -1[-8 + (2y + -5) + 11y] 5 + -2y + [11 * -1 + 10y * -1] = 15y + -1[-8 + (2y + -5) + 11y] 5 + -2y + [-11 + -10y] = 15y + -1[-8 + (2y + -5) + 11y] Reorder the terms: 5 + -11 + -2y + -10y = 15y + -1[-8 + (2y + -5) + 11y] Combine like terms: 5 + -11 = -6 -6 + -2y + -10y = 15y + -1[-8 + (2y + -5) + 11y] Combine like terms: -2y + -10y = -12y -6 + -12y = 15y + -1[-8 + (2y + -5) + 11y] Reorder the terms: -6 + -12y = 15y + -1[-8 + (-5 + 2y) + 11y] Remove parenthesis around (-5 + 2y) -6 + -12y = 15y + -1[-8 + -5 + 2y + 11y] Combine like terms: -8 + -5 = -13 -6 + -12y = 15y + -1[-13 + 2y + 11y] Combine like terms: 2y + 11y = 13y -6 + -12y = 15y + -1[-13 + 13y] -6 + -12y = 15y + [-13 * -1 + 13y * -1] -6 + -12y = 15y + [13 + -13y] Reorder the terms: -6 + -12y = 13 + 15y + -13y Combine like terms: 15y + -13y = 2y -6 + -12y = 13 + 2y Solving -6 + -12y = 13 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -6 + -12y + -2y = 13 + 2y + -2y Combine like terms: -12y + -2y = -14y -6 + -14y = 13 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + -14y = 13 + 0 -6 + -14y = 13 Add '6' to each side of the equation. -6 + 6 + -14y = 13 + 6 Combine like terms: -6 + 6 = 0 0 + -14y = 13 + 6 -14y = 13 + 6 Combine like terms: 13 + 6 = 19 -14y = 19 Divide each side by '-14'. y = -1.357142857 Simplifying y = -1.357142857
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