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Simplifying 5 + -5[2 + -1(3y + -3)] = 0 Reorder the terms: 5 + -5[2 + -1(-3 + 3y)] = 0 5 + -5[2 + (-3 * -1 + 3y * -1)] = 0 5 + -5[2 + (3 + -3y)] = 0 Combine like terms: 2 + 3 = 5 5 + -5[5 + -3y] = 0 5 + [5 * -5 + -3y * -5] = 0 5 + [-25 + 15y] = 0 Combine like terms: 5 + -25 = -20 -20 + 15y = 0 Solving -20 + 15y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 15y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 15y = 0 + 20 15y = 0 + 20 Combine like terms: 0 + 20 = 20 15y = 20 Divide each side by '15'. y = 1.333333333 Simplifying y = 1.333333333
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