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Simplifying 7 + -5[4 + -1(2y + -3)] = 0 Reorder the terms: 7 + -5[4 + -1(-3 + 2y)] = 0 7 + -5[4 + (-3 * -1 + 2y * -1)] = 0 7 + -5[4 + (3 + -2y)] = 0 Combine like terms: 4 + 3 = 7 7 + -5[7 + -2y] = 0 7 + [7 * -5 + -2y * -5] = 0 7 + [-35 + 10y] = 0 Combine like terms: 7 + -35 = -28 -28 + 10y = 0 Solving -28 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 10y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 10y = 0 + 28 10y = 0 + 28 Combine like terms: 0 + 28 = 28 10y = 28 Divide each side by '10'. y = 2.8 Simplifying y = 2.8
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