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Simplifying 6(y + 3) = 5 + 5y Reorder the terms: 6(3 + y) = 5 + 5y (3 * 6 + y * 6) = 5 + 5y (18 + 6y) = 5 + 5y Solving 18 + 6y = 5 + 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 + 6y + -5y = 5 + 5y + -5y Combine like terms: 6y + -5y = 1y 18 + 1y = 5 + 5y + -5y Combine like terms: 5y + -5y = 0 18 + 1y = 5 + 0 18 + 1y = 5 Add '-18' to each side of the equation. 18 + -18 + 1y = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 1y = 5 + -18 1y = 5 + -18 Combine like terms: 5 + -18 = -13 1y = -13 Divide each side by '1'. y = -13 Simplifying y = -13
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