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Simplifying 7(y + -6) = 6(9 + y) Reorder the terms: 7(-6 + y) = 6(9 + y) (-6 * 7 + y * 7) = 6(9 + y) (-42 + 7y) = 6(9 + y) -42 + 7y = (9 * 6 + y * 6) -42 + 7y = (54 + 6y) Solving -42 + 7y = 54 + 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. -42 + 7y + -6y = 54 + 6y + -6y Combine like terms: 7y + -6y = 1y -42 + 1y = 54 + 6y + -6y Combine like terms: 6y + -6y = 0 -42 + 1y = 54 + 0 -42 + 1y = 54 Add '42' to each side of the equation. -42 + 42 + 1y = 54 + 42 Combine like terms: -42 + 42 = 0 0 + 1y = 54 + 42 1y = 54 + 42 Combine like terms: 54 + 42 = 96 1y = 96 Divide each side by '1'. y = 96 Simplifying y = 96
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