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Simplifying -3y + 3 = -2(3y + 9) Reorder the terms: 3 + -3y = -2(3y + 9) Reorder the terms: 3 + -3y = -2(9 + 3y) 3 + -3y = (9 * -2 + 3y * -2) 3 + -3y = (-18 + -6y) Solving 3 + -3y = -18 + -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 = -18 + -6y + 6y Combine like terms: -3y + 6y = 3y 3 + 3y = -18 + -6y + 6y Combine like terms: -6y + 6y = 0 3 + 3y = -18 + 0 3 + 3y = -18 Add '-3' to each side of the equation. 3 + -3 + 3y = -18 + -3 Combine like terms: 3 + -3 = 0 0 + 3y = -18 + -3 3y = -18 + -3 Combine like terms: -18 + -3 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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