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Simplifying 3y + 24 = -3(y + 4) Reorder the terms: 24 + 3y = -3(y + 4) Reorder the terms: 24 + 3y = -3(4 + y) 24 + 3y = (4 * -3 + y * -3) 24 + 3y = (-12 + -3y) Solving 24 + 3y = -12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 24 + 3y + 3y = -12 + -3y + 3y Combine like terms: 3y + 3y = 6y 24 + 6y = -12 + -3y + 3y Combine like terms: -3y + 3y = 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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