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Simplifying 7 + -5[3 + -1(4y + -5)] = 0 Reorder the terms: 7 + -5[3 + -1(-5 + 4y)] = 0 7 + -5[3 + (-5 * -1 + 4y * -1)] = 0 7 + -5[3 + (5 + -4y)] = 0 Combine like terms: 3 + 5 = 8 7 + -5[8 + -4y] = 0 7 + [8 * -5 + -4y * -5] = 0 7 + [-40 + 20y] = 0 Combine like terms: 7 + -40 = -33 -33 + 20y = 0 Solving -33 + 20y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 20y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 20y = 0 + 33 20y = 0 + 33 Combine like terms: 0 + 33 = 33 20y = 33 Divide each side by '20'. y = 1.65 Simplifying y = 1.65
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