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Simplifying 24 + 3y + -8 = 13y + -12 + -3y Reorder the terms: 24 + -8 + 3y = 13y + -12 + -3y Combine like terms: 24 + -8 = 16 16 + 3y = 13y + -12 + -3y Reorder the terms: 16 + 3y = -12 + 13y + -3y Combine like terms: 13y + -3y = 10y 16 + 3y = -12 + 10y Solving 16 + 3y = -12 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 16 + 3y + -10y = -12 + 10y + -10y Combine like terms: 3y + -10y = -7y 16 + -7y = -12 + 10y + -10y Combine like terms: 10y + -10y = 0 16 + -7y = -12 + 0 16 + -7y = -12 Add '-16' to each side of the equation. 16 + -16 + -7y = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -7y = -12 + -16 -7y = -12 + -16 Combine like terms: -12 + -16 = -28 -7y = -28 Divide each side by '-7'. y = 4 Simplifying y = 4
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