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Simplifying 7 + -5[2 + -1(4y + -4)] = 0 Reorder the terms: 7 + -5[2 + -1(-4 + 4y)] = 0 7 + -5[2 + (-4 * -1 + 4y * -1)] = 0 7 + -5[2 + (4 + -4y)] = 0 Combine like terms: 2 + 4 = 6 7 + -5[6 + -4y] = 0 7 + [6 * -5 + -4y * -5] = 0 7 + [-30 + 20y] = 0 Combine like terms: 7 + -30 = -23 -23 + 20y = 0 Solving -23 + 20y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 20y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 20y = 0 + 23 20y = 0 + 23 Combine like terms: 0 + 23 = 23 20y = 23 Divide each side by '20'. y = 1.15 Simplifying y = 1.15
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