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Simplifying 26 + -1[2 + 10y + -4(y + 2)] = -5(3y + -5) + -1[6(y + -1) + -11y + 19] Reorder the terms: 26 + -1[2 + 10y + -4(2 + y)] = -5(3y + -5) + -1[6(y + -1) + -11y + 19] 26 + -1[2 + 10y + (2 * -4 + y * -4)] = -5(3y + -5) + -1[6(y + -1) + -11y + 19] 26 + -1[2 + 10y + (-8 + -4y)] = -5(3y + -5) + -1[6(y + -1) + -11y + 19] Reorder the terms: 26 + -1[2 + -8 + 10y + -4y] = -5(3y + -5) + -1[6(y + -1) + -11y + 19] Combine like terms: 2 + -8 = -6 26 + -1[-6 + 10y + -4y] = -5(3y + -5) + -1[6(y + -1) + -11y + 19] Combine like terms: 10y + -4y = 6y 26 + -1[-6 + 6y] = -5(3y + -5) + -1[6(y + -1) + -11y + 19] 26 + [-6 * -1 + 6y * -1] = -5(3y + -5) + -1[6(y + -1) + -11y + 19] 26 + [6 + -6y] = -5(3y + -5) + -1[6(y + -1) + -11y + 19] Combine like terms: 26 + 6 = 32 32 + -6y = -5(3y + -5) + -1[6(y + -1) + -11y + 19] Reorder the terms: 32 + -6y = -5(-5 + 3y) + -1[6(y + -1) + -11y + 19] 32 + -6y = (-5 * -5 + 3y * -5) + -1[6(y + -1) + -11y + 19] 32 + -6y = (25 + -15y) + -1[6(y + -1) + -11y + 19] Reorder the terms: 32 + -6y = 25 + -15y + -1[6(-1 + y) + -11y + 19] 32 + -6y = 25 + -15y + -1[(-1 * 6 + y * 6) + -11y + 19] 32 + -6y = 25 + -15y + -1[(-6 + 6y) + -11y + 19] Reorder the terms: 32 + -6y = 25 + -15y + -1[-6 + 19 + 6y + -11y] Combine like terms: -6 + 19 = 13 32 + -6y = 25 + -15y + -1[13 + 6y + -11y] Combine like terms: 6y + -11y = -5y 32 + -6y = 25 + -15y + -1[13 + -5y] 32 + -6y = 25 + -15y + [13 * -1 + -5y * -1] 32 + -6y = 25 + -15y + [-13 + 5y] Reorder the terms: 32 + -6y = 25 + -13 + -15y + 5y Combine like terms: 25 + -13 = 12 32 + -6y = 12 + -15y + 5y Combine like terms: -15y + 5y = -10y 32 + -6y = 12 + -10y Solving 32 + -6y = 12 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 32 + -6y + 10y = 12 + -10y + 10y Combine like terms: -6y + 10y = 4y 32 + 4y = 12 + -10y + 10y Combine like terms: -10y + 10y = 0 32 + 4y = 12 + 0 32 + 4y = 12 Add '-32' to each side of the equation. 32 + -32 + 4y = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 4y = 12 + -32 4y = 12 + -32 Combine like terms: 12 + -32 = -20 4y = -20 Divide each side by '4'. y = -5 Simplifying y = -5
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