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Simplifying (8y + -1) + -4[(7y + 5) + -3(2y + -7)] = 0 Reorder the terms: (-1 + 8y) + -4[(7y + 5) + -3(2y + -7)] = 0 Remove parenthesis around (-1 + 8y) -1 + 8y + -4[(7y + 5) + -3(2y + -7)] = 0 Reorder the terms: -1 + 8y + -4[(5 + 7y) + -3(2y + -7)] = 0 Remove parenthesis around (5 + 7y) -1 + 8y + -4[5 + 7y + -3(2y + -7)] = 0 Reorder the terms: -1 + 8y + -4[5 + 7y + -3(-7 + 2y)] = 0 -1 + 8y + -4[5 + 7y + (-7 * -3 + 2y * -3)] = 0 -1 + 8y + -4[5 + 7y + (21 + -6y)] = 0 Reorder the terms: -1 + 8y + -4[5 + 21 + 7y + -6y] = 0 Combine like terms: 5 + 21 = 26 -1 + 8y + -4[26 + 7y + -6y] = 0 Combine like terms: 7y + -6y = 1y -1 + 8y + -4[26 + 1y] = 0 -1 + 8y + [26 * -4 + 1y * -4] = 0 -1 + 8y + [-104 + -4y] = 0 Reorder the terms: -1 + -104 + 8y + -4y = 0 Combine like terms: -1 + -104 = -105 -105 + 8y + -4y = 0 Combine like terms: 8y + -4y = 4y -105 + 4y = 0 Solving -105 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '105' to each side of the equation. -105 + 105 + 4y = 0 + 105 Combine like terms: -105 + 105 = 0 0 + 4y = 0 + 105 4y = 0 + 105 Combine like terms: 0 + 105 = 105 4y = 105 Divide each side by '4'. y = 26.25 Simplifying y = 26.25
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