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Simplifying 4y + 8(3y + 7) = 6(3y + 6) Reorder the terms: 4y + 8(7 + 3y) = 6(3y + 6) 4y + (7 * 8 + 3y * 8) = 6(3y + 6) 4y + (56 + 24y) = 6(3y + 6) Reorder the terms: 56 + 4y + 24y = 6(3y + 6) Combine like terms: 4y + 24y = 28y 56 + 28y = 6(3y + 6) Reorder the terms: 56 + 28y = 6(6 + 3y) 56 + 28y = (6 * 6 + 3y * 6) 56 + 28y = (36 + 18y) Solving 56 + 28y = 36 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 56 + 28y + -18y = 36 + 18y + -18y Combine like terms: 28y + -18y = 10y 56 + 10y = 36 + 18y + -18y Combine like terms: 18y + -18y = 0 56 + 10y = 36 + 0 56 + 10y = 36 Add '-56' to each side of the equation. 56 + -56 + 10y = 36 + -56 Combine like terms: 56 + -56 = 0 0 + 10y = 36 + -56 10y = 36 + -56 Combine like terms: 36 + -56 = -20 10y = -20 Divide each side by '10'. y = -2 Simplifying y = -2
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