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Simplifying 7 + -3[6 + -1(9y + -7)] = 0 Reorder the terms: 7 + -3[6 + -1(-7 + 9y)] = 0 7 + -3[6 + (-7 * -1 + 9y * -1)] = 0 7 + -3[6 + (7 + -9y)] = 0 Combine like terms: 6 + 7 = 13 7 + -3[13 + -9y] = 0 7 + [13 * -3 + -9y * -3] = 0 7 + [-39 + 27y] = 0 Combine like terms: 7 + -39 = -32 -32 + 27y = 0 Solving -32 + 27y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 27y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 27y = 0 + 32 27y = 0 + 32 Combine like terms: 0 + 32 = 32 27y = 32 Divide each side by '27'. y = 1.185185185 Simplifying y = 1.185185185
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