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Simplifying 5 + -7[9 + -1(3y + -7)] = 0 Reorder the terms: 5 + -7[9 + -1(-7 + 3y)] = 0 5 + -7[9 + (-7 * -1 + 3y * -1)] = 0 5 + -7[9 + (7 + -3y)] = 0 Combine like terms: 9 + 7 = 16 5 + -7[16 + -3y] = 0 5 + [16 * -7 + -3y * -7] = 0 5 + [-112 + 21y] = 0 Combine like terms: 5 + -112 = -107 -107 + 21y = 0 Solving -107 + 21y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '107' to each side of the equation. -107 + 107 + 21y = 0 + 107 Combine like terms: -107 + 107 = 0 0 + 21y = 0 + 107 21y = 0 + 107 Combine like terms: 0 + 107 = 107 21y = 107 Divide each side by '21'. y = 5.095238095 Simplifying y = 5.095238095
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