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Simplifying 5[y + -8] = 3[y + 24] Reorder the terms: 5[-8 + y] = 3[y + 24] [-8 * 5 + y * 5] = 3[y + 24] [-40 + 5y] = 3[y + 24] Reorder the terms: -40 + 5y = 3[24 + y] -40 + 5y = [24 * 3 + y * 3] -40 + 5y = [72 + 3y] Solving -40 + 5y = 72 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -40 + 5y + -3y = 72 + 3y + -3y Combine like terms: 5y + -3y = 2y -40 + 2y = 72 + 3y + -3y Combine like terms: 3y + -3y = 0 -40 + 2y = 72 + 0 -40 + 2y = 72 Add '40' to each side of the equation. -40 + 40 + 2y = 72 + 40 Combine like terms: -40 + 40 = 0 0 + 2y = 72 + 40 2y = 72 + 40 Combine like terms: 72 + 40 = 112 2y = 112 Divide each side by '2'. y = 56 Simplifying y = 56
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