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Simplifying 36(y + -1) = 6(7 + y) Reorder the terms: 36(-1 + y) = 6(7 + y) (-1 * 36 + y * 36) = 6(7 + y) (-36 + 36y) = 6(7 + y) -36 + 36y = (7 * 6 + y * 6) -36 + 36y = (42 + 6y) Solving -36 + 36y = 42 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -36 + 36y + -6y = 42 + 6y + -6y Combine like terms: 36y + -6y = 30y -36 + 30y = 42 + 6y + -6y Combine like terms: 6y + -6y = 0 -36 + 30y = 42 + 0 -36 + 30y = 42 Add '36' to each side of the equation. -36 + 36 + 30y = 42 + 36 Combine like terms: -36 + 36 = 0 0 + 30y = 42 + 36 30y = 42 + 36 Combine like terms: 42 + 36 = 78 30y = 78 Divide each side by '30'. y = 2.6 Simplifying y = 2.6
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