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Simplifying 32 + 4y + -8 = 13y + -12 + -3y Reorder the terms: 32 + -8 + 4y = 13y + -12 + -3y Combine like terms: 32 + -8 = 24 24 + 4y = 13y + -12 + -3y Reorder the terms: 24 + 4y = -12 + 13y + -3y Combine like terms: 13y + -3y = 10y 24 + 4y = -12 + 10y Solving 24 + 4y = -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. 24 + 4y + -10y = -12 + 10y + -10y Combine like terms: 4y + -10y = -6y 24 + -6y = -12 + 10y + -10y Combine like terms: 10y + -10y = 0 24 + -6y = -12 + 0 24 + -6y = -12 Add '-24' to each side of the equation. 24 + -24 + -6y = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -6y = -12 + -24 -6y = -12 + -24 Combine like terms: -12 + -24 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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