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Simplifying -8[(9y + 7) + -1(7y + -2)] = 9(6 + -1y) + -4 Reorder the terms: -8[(7 + 9y) + -1(7y + -2)] = 9(6 + -1y) + -4 Remove parenthesis around (7 + 9y) -8[7 + 9y + -1(7y + -2)] = 9(6 + -1y) + -4 Reorder the terms: -8[7 + 9y + -1(-2 + 7y)] = 9(6 + -1y) + -4 -8[7 + 9y + (-2 * -1 + 7y * -1)] = 9(6 + -1y) + -4 -8[7 + 9y + (2 + -7y)] = 9(6 + -1y) + -4 Reorder the terms: -8[7 + 2 + 9y + -7y] = 9(6 + -1y) + -4 Combine like terms: 7 + 2 = 9 -8[9 + 9y + -7y] = 9(6 + -1y) + -4 Combine like terms: 9y + -7y = 2y -8[9 + 2y] = 9(6 + -1y) + -4 [9 * -8 + 2y * -8] = 9(6 + -1y) + -4 [-72 + -16y] = 9(6 + -1y) + -4 -72 + -16y = (6 * 9 + -1y * 9) + -4 -72 + -16y = (54 + -9y) + -4 Reorder the terms: -72 + -16y = 54 + -4 + -9y Combine like terms: 54 + -4 = 50 -72 + -16y = 50 + -9y Solving -72 + -16y = 50 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -72 + -16y + 9y = 50 + -9y + 9y Combine like terms: -16y + 9y = -7y -72 + -7y = 50 + -9y + 9y Combine like terms: -9y + 9y = 0 -72 + -7y = 50 + 0 -72 + -7y = 50 Add '72' to each side of the equation. -72 + 72 + -7y = 50 + 72 Combine like terms: -72 + 72 = 0 0 + -7y = 50 + 72 -7y = 50 + 72 Combine like terms: 50 + 72 = 122 -7y = 122 Divide each side by '-7'. y = -17.42857143 Simplifying y = -17.42857143
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