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Simplifying 7 + -2[2 + -1(3y + -5)] = 0 Reorder the terms: 7 + -2[2 + -1(-5 + 3y)] = 0 7 + -2[2 + (-5 * -1 + 3y * -1)] = 0 7 + -2[2 + (5 + -3y)] = 0 Combine like terms: 2 + 5 = 7 7 + -2[7 + -3y] = 0 7 + [7 * -2 + -3y * -2] = 0 7 + [-14 + 6y] = 0 Combine like terms: 7 + -14 = -7 -7 + 6y = 0 Solving -7 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6y = 0 + 7 6y = 0 + 7 Combine like terms: 0 + 7 = 7 6y = 7 Divide each side by '6'. y = 1.166666667 Simplifying y = 1.166666667
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