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Simplifying 9(y + -7) = 7y + -45 Reorder the terms: 9(-7 + y) = 7y + -45 (-7 * 9 + y * 9) = 7y + -45 (-63 + 9y) = 7y + -45 Reorder the terms: -63 + 9y = -45 + 7y Solving -63 + 9y = -45 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -63 + 9y + -7y = -45 + 7y + -7y Combine like terms: 9y + -7y = 2y -63 + 2y = -45 + 7y + -7y Combine like terms: 7y + -7y = 0 -63 + 2y = -45 + 0 -63 + 2y = -45 Add '63' to each side of the equation. -63 + 63 + 2y = -45 + 63 Combine like terms: -63 + 63 = 0 0 + 2y = -45 + 63 2y = -45 + 63 Combine like terms: -45 + 63 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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