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Simplifying -3 + 10y + 8 = 15 + 13y + -31 Reorder the terms: -3 + 8 + 10y = 15 + 13y + -31 Combine like terms: -3 + 8 = 5 5 + 10y = 15 + 13y + -31 Reorder the terms: 5 + 10y = 15 + -31 + 13y Combine like terms: 15 + -31 = -16 5 + 10y = -16 + 13y Solving 5 + 10y = -16 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 5 + 10y + -13y = -16 + 13y + -13y Combine like terms: 10y + -13y = -3y 5 + -3y = -16 + 13y + -13y Combine like terms: 13y + -13y = 0 5 + -3y = -16 + 0 5 + -3y = -16 Add '-5' to each side of the equation. 5 + -5 + -3y = -16 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = -16 + -5 -3y = -16 + -5 Combine like terms: -16 + -5 = -21 -3y = -21 Divide each side by '-3'. y = 7 Simplifying y = 7
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