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Simplifying 3y + 7[8(3y + -7) + -1(2y + 2)] + 7 = 0 Reorder the terms: 3y + 7[8(-7 + 3y) + -1(2y + 2)] + 7 = 0 3y + 7[(-7 * 8 + 3y * 8) + -1(2y + 2)] + 7 = 0 3y + 7[(-56 + 24y) + -1(2y + 2)] + 7 = 0 Reorder the terms: 3y + 7[-56 + 24y + -1(2 + 2y)] + 7 = 0 3y + 7[-56 + 24y + (2 * -1 + 2y * -1)] + 7 = 0 3y + 7[-56 + 24y + (-2 + -2y)] + 7 = 0 Reorder the terms: 3y + 7[-56 + -2 + 24y + -2y] + 7 = 0 Combine like terms: -56 + -2 = -58 3y + 7[-58 + 24y + -2y] + 7 = 0 Combine like terms: 24y + -2y = 22y 3y + 7[-58 + 22y] + 7 = 0 3y + [-58 * 7 + 22y * 7] + 7 = 0 3y + [-406 + 154y] + 7 = 0 Reorder the terms: -406 + 7 + 3y + 154y = 0 Combine like terms: -406 + 7 = -399 -399 + 3y + 154y = 0 Combine like terms: 3y + 154y = 157y -399 + 157y = 0 Solving -399 + 157y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '399' to each side of the equation. -399 + 399 + 157y = 0 + 399 Combine like terms: -399 + 399 = 0 0 + 157y = 0 + 399 157y = 0 + 399 Combine like terms: 0 + 399 = 399 157y = 399 Divide each side by '157'. y = 2.541401274 Simplifying y = 2.541401274
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