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Simplifying -3y + 3 = -3(2y + 8) Reorder the terms: 3 + -3y = -3(2y + 8) Reorder the terms: 3 + -3y = -3(8 + 2y) 3 + -3y = (8 * -3 + 2y * -3) 3 + -3y = (-24 + -6y) Solving 3 + -3y = -24 + -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. 3 + -3y + 6y = -24 + -6y + 6y Combine like terms: -3y + 6y = 3y 3 + 3y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 3 + 3y = -24 + 0 3 + 3y = -24 Add '-3' to each side of the equation. 3 + -3 + 3y = -24 + -3 Combine like terms: 3 + -3 = 0 0 + 3y = -24 + -3 3y = -24 + -3 Combine like terms: -24 + -3 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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