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Simplifying -5 + 10y + 8 = 15 + 13y + -24 Reorder the terms: -5 + 8 + 10y = 15 + 13y + -24 Combine like terms: -5 + 8 = 3 3 + 10y = 15 + 13y + -24 Reorder the terms: 3 + 10y = 15 + -24 + 13y Combine like terms: 15 + -24 = -9 3 + 10y = -9 + 13y Solving 3 + 10y = -9 + 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. 3 + 10y + -13y = -9 + 13y + -13y Combine like terms: 10y + -13y = -3y 3 + -3y = -9 + 13y + -13y Combine like terms: 13y + -13y = 0 3 + -3y = -9 + 0 3 + -3y = -9 Add '-3' to each side of the equation. 3 + -3 + -3y = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -3y = -9 + -3 -3y = -9 + -3 Combine like terms: -9 + -3 = -12 -3y = -12 Divide each side by '-3'. y = 4 Simplifying y = 4
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