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Simplifying -1(3y + 8 + -1(-15 + 6y + -1(-3y + 2) + -1(5y + 4)) + -29) = -5 Reorder the terms: -1(3y + 8 + -1(-15 + 6y + -1(2 + -3y) + -1(5y + 4)) + -29) = -5 -1(3y + 8 + -1(-15 + 6y + (2 * -1 + -3y * -1) + -1(5y + 4)) + -29) = -5 -1(3y + 8 + -1(-15 + 6y + (-2 + 3y) + -1(5y + 4)) + -29) = -5 Reorder the terms: -1(3y + 8 + -1(-15 + 6y + -2 + 3y + -1(4 + 5y)) + -29) = -5 -1(3y + 8 + -1(-15 + 6y + -2 + 3y + (4 * -1 + 5y * -1)) + -29) = -5 -1(3y + 8 + -1(-15 + 6y + -2 + 3y + (-4 + -5y)) + -29) = -5 Reorder the terms: -1(3y + 8 + -1(-15 + -2 + -4 + 6y + 3y + -5y) + -29) = -5 Combine like terms: -15 + -2 = -17 -1(3y + 8 + -1(-17 + -4 + 6y + 3y + -5y) + -29) = -5 Combine like terms: -17 + -4 = -21 -1(3y + 8 + -1(-21 + 6y + 3y + -5y) + -29) = -5 Combine like terms: 6y + 3y = 9y -1(3y + 8 + -1(-21 + 9y + -5y) + -29) = -5 Combine like terms: 9y + -5y = 4y -1(3y + 8 + -1(-21 + 4y) + -29) = -5 -1(3y + 8 + (-21 * -1 + 4y * -1) + -29) = -5 -1(3y + 8 + (21 + -4y) + -29) = -5 Reorder the terms: -1(8 + 21 + -29 + 3y + -4y) = -5 Combine like terms: 8 + 21 = 29 -1(29 + -29 + 3y + -4y) = -5 Combine like terms: 29 + -29 = 0 -1(0 + 3y + -4y) = -5 -1(3y + -4y) = -5 Combine like terms: 3y + -4y = -1y -1(-1y) = -5 Remove parenthesis around (-1y) -1 * -1y = -5 Multiply -1 * -1 1y = -5 Solving 1y = -5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '1'. y = -5 Simplifying y = -5
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