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Simplifying 7(y + -9) = 2(3y + 2) + -67 Reorder the terms: 7(-9 + y) = 2(3y + 2) + -67 (-9 * 7 + y * 7) = 2(3y + 2) + -67 (-63 + 7y) = 2(3y + 2) + -67 Reorder the terms: -63 + 7y = 2(2 + 3y) + -67 -63 + 7y = (2 * 2 + 3y * 2) + -67 -63 + 7y = (4 + 6y) + -67 Reorder the terms: -63 + 7y = 4 + -67 + 6y Combine like terms: 4 + -67 = -63 -63 + 7y = -63 + 6y Add '63' to each side of the equation. -63 + 63 + 7y = -63 + 63 + 6y Combine like terms: -63 + 63 = 0 0 + 7y = -63 + 63 + 6y 7y = -63 + 63 + 6y Combine like terms: -63 + 63 = 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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