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Simplifying 3[5 + -5(y + -1)] = 11 + 4y Reorder the terms: 3[5 + -5(-1 + y)] = 11 + 4y 3[5 + (-1 * -5 + y * -5)] = 11 + 4y 3[5 + (5 + -5y)] = 11 + 4y Combine like terms: 5 + 5 = 10 3[10 + -5y] = 11 + 4y [10 * 3 + -5y * 3] = 11 + 4y [30 + -15y] = 11 + 4y Solving 30 + -15y = 11 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 30 + -15y + -4y = 11 + 4y + -4y Combine like terms: -15y + -4y = -19y 30 + -19y = 11 + 4y + -4y Combine like terms: 4y + -4y = 0 30 + -19y = 11 + 0 30 + -19y = 11 Add '-30' to each side of the equation. 30 + -30 + -19y = 11 + -30 Combine like terms: 30 + -30 = 0 0 + -19y = 11 + -30 -19y = 11 + -30 Combine like terms: 11 + -30 = -19 -19y = -19 Divide each side by '-19'. y = 1 Simplifying y = 1
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