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Simplifying 6(-5 + 11y) = 3(6y + 6) (-5 * 6 + 11y * 6) = 3(6y + 6) (-30 + 66y) = 3(6y + 6) Reorder the terms: -30 + 66y = 3(6 + 6y) -30 + 66y = (6 * 3 + 6y * 3) -30 + 66y = (18 + 18y) Solving -30 + 66y = 18 + 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. -30 + 66y + -18y = 18 + 18y + -18y Combine like terms: 66y + -18y = 48y -30 + 48y = 18 + 18y + -18y Combine like terms: 18y + -18y = 0 -30 + 48y = 18 + 0 -30 + 48y = 18 Add '30' to each side of the equation. -30 + 30 + 48y = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 48y = 18 + 30 48y = 18 + 30 Combine like terms: 18 + 30 = 48 48y = 48 Divide each side by '48'. y = 1 Simplifying y = 1
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