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Simplifying 6y + 18 = -6(y + 3) Reorder the terms: 18 + 6y = -6(y + 3) Reorder the terms: 18 + 6y = -6(3 + y) 18 + 6y = (3 * -6 + y * -6) 18 + 6y = (-18 + -6y) Solving 18 + 6y = -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. 18 + 6y + 6y = -18 + -6y + 6y Combine like terms: 6y + 6y = 12y 18 + 12y = -18 + -6y + 6y Combine like terms: -6y + 6y = 0 18 + 12y = -18 + 0 18 + 12y = -18 Add '-18' to each side of the equation. 18 + -18 + 12y = -18 + -18 Combine like terms: 18 + -18 = 0 0 + 12y = -18 + -18 12y = -18 + -18 Combine like terms: -18 + -18 = -36 12y = -36 Divide each side by '12'. y = -3 Simplifying y = -3
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