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Simplifying 3y + 8 = -2(3y + 8) Reorder the terms: 8 + 3y = -2(3y + 8) Reorder the terms: 8 + 3y = -2(8 + 3y) 8 + 3y = (8 * -2 + 3y * -2) 8 + 3y = (-16 + -6y) Solving 8 + 3y = -16 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 8 + 3y + 6y = -16 + -6y + 6y Combine like terms: 3y + 6y = 9y 8 + 9y = -16 + -6y + 6y Combine like terms: -6y + 6y = 0 8 + 9y = -16 + 0 8 + 9y = -16 Add '-8' to each side of the equation. 8 + -8 + 9y = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 9y = -16 + -8 9y = -16 + -8 Combine like terms: -16 + -8 = -24 9y = -24 Divide each side by '9'. y = -2.666666667 Simplifying y = -2.666666667
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