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Simplifying 9(y + -7) = 5y + -27 Reorder the terms: 9(-7 + y) = 5y + -27 (-7 * 9 + y * 9) = 5y + -27 (-63 + 9y) = 5y + -27 Reorder the terms: -63 + 9y = -27 + 5y Solving -63 + 9y = -27 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -63 + 9y + -5y = -27 + 5y + -5y Combine like terms: 9y + -5y = 4y -63 + 4y = -27 + 5y + -5y Combine like terms: 5y + -5y = 0 -63 + 4y = -27 + 0 -63 + 4y = -27 Add '63' to each side of the equation. -63 + 63 + 4y = -27 + 63 Combine like terms: -63 + 63 = 0 0 + 4y = -27 + 63 4y = -27 + 63 Combine like terms: -27 + 63 = 36 4y = 36 Divide each side by '4'. y = 9 Simplifying y = 9
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