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Simplifying 13y + -8y + -12 = -5y + -42 Reorder the terms: -12 + 13y + -8y = -5y + -42 Combine like terms: 13y + -8y = 5y -12 + 5y = -5y + -42 Reorder the terms: -12 + 5y = -42 + -5y Solving -12 + 5y = -42 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -12 + 5y + 5y = -42 + -5y + 5y Combine like terms: 5y + 5y = 10y -12 + 10y = -42 + -5y + 5y Combine like terms: -5y + 5y = 0 -12 + 10y = -42 + 0 -12 + 10y = -42 Add '12' to each side of the equation. -12 + 12 + 10y = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 10y = -42 + 12 10y = -42 + 12 Combine like terms: -42 + 12 = -30 10y = -30 Divide each side by '10'. y = -3 Simplifying y = -3
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