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Simplifying -5 + 13y + 8 = 14 + 15y + -21 Reorder the terms: -5 + 8 + 13y = 14 + 15y + -21 Combine like terms: -5 + 8 = 3 3 + 13y = 14 + 15y + -21 Reorder the terms: 3 + 13y = 14 + -21 + 15y Combine like terms: 14 + -21 = -7 3 + 13y = -7 + 15y Solving 3 + 13y = -7 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 3 + 13y + -15y = -7 + 15y + -15y Combine like terms: 13y + -15y = -2y 3 + -2y = -7 + 15y + -15y Combine like terms: 15y + -15y = 0 3 + -2y = -7 + 0 3 + -2y = -7 Add '-3' to each side of the equation. 3 + -3 + -2y = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = -7 + -3 -2y = -7 + -3 Combine like terms: -7 + -3 = -10 -2y = -10 Divide each side by '-2'. y = 5 Simplifying y = 5
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