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Simplifying 3(2y + 6) = 5(y + -4) Reorder the terms: 3(6 + 2y) = 5(y + -4) (6 * 3 + 2y * 3) = 5(y + -4) (18 + 6y) = 5(y + -4) Reorder the terms: 18 + 6y = 5(-4 + y) 18 + 6y = (-4 * 5 + y * 5) 18 + 6y = (-20 + 5y) Solving 18 + 6y = -20 + 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 = -20 + 5y + -5y Combine like terms: 6y + -5y = 1y 18 + 1y = -20 + 5y + -5y Combine like terms: 5y + -5y = 0 18 + 1y = -20 + 0 18 + 1y = -20 Add '-18' to each side of the equation. 18 + -18 + 1y = -20 + -18 Combine like terms: 18 + -18 = 0 0 + 1y = -20 + -18 1y = -20 + -18 Combine like terms: -20 + -18 = -38 1y = -38 Divide each side by '1'. y = -38 Simplifying y = -38
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