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Simplifying 6(3 + 2y) = 5y + -3 (3 * 6 + 2y * 6) = 5y + -3 (18 + 12y) = 5y + -3 Reorder the terms: 18 + 12y = -3 + 5y Solving 18 + 12y = -3 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 18 + 12y + -5y = -3 + 5y + -5y Combine like terms: 12y + -5y = 7y 18 + 7y = -3 + 5y + -5y Combine like terms: 5y + -5y = 0 18 + 7y = -3 + 0 18 + 7y = -3 Add '-18' to each side of the equation. 18 + -18 + 7y = -3 + -18 Combine like terms: 18 + -18 = 0 0 + 7y = -3 + -18 7y = -3 + -18 Combine like terms: -3 + -18 = -21 7y = -21 Divide each side by '7'. y = -3 Simplifying y = -3
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