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Simplifying 9y + 12 = -5(y + 6) Reorder the terms: 12 + 9y = -5(y + 6) Reorder the terms: 12 + 9y = -5(6 + y) 12 + 9y = (6 * -5 + y * -5) 12 + 9y = (-30 + -5y) Solving 12 + 9y = -30 + -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 + 9y + 5y = -30 + -5y + 5y Combine like terms: 9y + 5y = 14y 12 + 14y = -30 + -5y + 5y Combine like terms: -5y + 5y = 0 12 + 14y = -30 + 0 12 + 14y = -30 Add '-12' to each side of the equation. 12 + -12 + 14y = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 14y = -30 + -12 14y = -30 + -12 Combine like terms: -30 + -12 = -42 14y = -42 Divide each side by '14'. y = -3 Simplifying y = -3
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