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Simplifying (y + 6) * 3 + 2y = 2y + 6 Reorder the terms: (6 + y) * 3 + 2y = 2y + 6 Reorder the terms for easier multiplication: 3(6 + y) + 2y = 2y + 6 (6 * 3 + y * 3) + 2y = 2y + 6 (18 + 3y) + 2y = 2y + 6 Combine like terms: 3y + 2y = 5y 18 + 5y = 2y + 6 Reorder the terms: 18 + 5y = 6 + 2y Solving 18 + 5y = 6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 18 + 5y + -2y = 6 + 2y + -2y Combine like terms: 5y + -2y = 3y 18 + 3y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 18 + 3y = 6 + 0 18 + 3y = 6 Add '-18' to each side of the equation. 18 + -18 + 3y = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 3y = 6 + -18 3y = 6 + -18 Combine like terms: 6 + -18 = -12 3y = -12 Divide each side by '3'. y = -4 Simplifying y = -4
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