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Simplifying 7(y + -9) = 7 + 6y Reorder the terms: 7(-9 + y) = 7 + 6y (-9 * 7 + y * 7) = 7 + 6y (-63 + 7y) = 7 + 6y Solving -63 + 7y = 7 + 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. -63 + 7y + -6y = 7 + 6y + -6y Combine like terms: 7y + -6y = 1y -63 + 1y = 7 + 6y + -6y Combine like terms: 6y + -6y = 0 -63 + 1y = 7 + 0 -63 + 1y = 7 Add '63' to each side of the equation. -63 + 63 + 1y = 7 + 63 Combine like terms: -63 + 63 = 0 0 + 1y = 7 + 63 1y = 7 + 63 Combine like terms: 7 + 63 = 70 1y = 70 Divide each side by '1'. y = 70 Simplifying y = 70
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