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