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Simplifying 9(y + -7) = 8(2 + y) Reorder the terms: 9(-7 + y) = 8(2 + y) (-7 * 9 + y * 9) = 8(2 + y) (-63 + 9y) = 8(2 + y) -63 + 9y = (2 * 8 + y * 8) -63 + 9y = (16 + 8y) Solving -63 + 9y = 16 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -63 + 9y + -8y = 16 + 8y + -8y Combine like terms: 9y + -8y = 1y -63 + 1y = 16 + 8y + -8y Combine like terms: 8y + -8y = 0 -63 + 1y = 16 + 0 -63 + 1y = 16 Add '63' to each side of the equation. -63 + 63 + 1y = 16 + 63 Combine like terms: -63 + 63 = 0 0 + 1y = 16 + 63 1y = 16 + 63 Combine like terms: 16 + 63 = 79 1y = 79 Divide each side by '1'. y = 79 Simplifying y = 79
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