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Simplifying 7(y + -3) = 2(3y + 9) + -39 Reorder the terms: 7(-3 + y) = 2(3y + 9) + -39 (-3 * 7 + y * 7) = 2(3y + 9) + -39 (-21 + 7y) = 2(3y + 9) + -39 Reorder the terms: -21 + 7y = 2(9 + 3y) + -39 -21 + 7y = (9 * 2 + 3y * 2) + -39 -21 + 7y = (18 + 6y) + -39 Reorder the terms: -21 + 7y = 18 + -39 + 6y Combine like terms: 18 + -39 = -21 -21 + 7y = -21 + 6y Add '21' to each side of the equation. -21 + 21 + 7y = -21 + 21 + 6y Combine like terms: -21 + 21 = 0 0 + 7y = -21 + 21 + 6y 7y = -21 + 21 + 6y Combine like terms: -21 + 21 = 0 7y = 0 + 6y 7y = 6y Solving 7y = 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. 7y + -6y = 6y + -6y Combine like terms: 7y + -6y = 1y 1y = 6y + -6y Combine like terms: 6y + -6y = 0 1y = 0 Divide each side by '1'. y = 0 Simplifying y = 0
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