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Simplifying 9y + -1[5y + 3(y + -4) + -7] = 0 Reorder the terms: 9y + -1[5y + 3(-4 + y) + -7] = 0 9y + -1[5y + (-4 * 3 + y * 3) + -7] = 0 9y + -1[5y + (-12 + 3y) + -7] = 0 Reorder the terms: 9y + -1[-12 + -7 + 5y + 3y] = 0 Combine like terms: -12 + -7 = -19 9y + -1[-19 + 5y + 3y] = 0 Combine like terms: 5y + 3y = 8y 9y + -1[-19 + 8y] = 0 9y + [-19 * -1 + 8y * -1] = 0 9y + [19 + -8y] = 0 Reorder the terms: 19 + 9y + -8y = 0 Combine like terms: 9y + -8y = 1y 19 + 1y = 0 Solving 19 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 1y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 1y = 0 + -19 1y = 0 + -19 Combine like terms: 0 + -19 = -19 1y = -19 Divide each side by '1'. y = -19 Simplifying y = -19
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