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Simplifying 6(y + 9) + y = 4(y + 4) + -2 Reorder the terms: 6(9 + y) + y = 4(y + 4) + -2 (9 * 6 + y * 6) + y = 4(y + 4) + -2 (54 + 6y) + y = 4(y + 4) + -2 Combine like terms: 6y + y = 7y 54 + 7y = 4(y + 4) + -2 Reorder the terms: 54 + 7y = 4(4 + y) + -2 54 + 7y = (4 * 4 + y * 4) + -2 54 + 7y = (16 + 4y) + -2 Reorder the terms: 54 + 7y = 16 + -2 + 4y Combine like terms: 16 + -2 = 14 54 + 7y = 14 + 4y Solving 54 + 7y = 14 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 54 + 7y + -4y = 14 + 4y + -4y Combine like terms: 7y + -4y = 3y 54 + 3y = 14 + 4y + -4y Combine like terms: 4y + -4y = 0 54 + 3y = 14 + 0 54 + 3y = 14 Add '-54' to each side of the equation. 54 + -54 + 3y = 14 + -54 Combine like terms: 54 + -54 = 0 0 + 3y = 14 + -54 3y = 14 + -54 Combine like terms: 14 + -54 = -40 3y = -40 Divide each side by '3'. y = -13.33333333 Simplifying y = -13.33333333
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