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Simplifying (y + -7) + -1(y + 7) = 9y Reorder the terms: (-7 + y) + -1(y + 7) = 9y Remove parenthesis around (-7 + y) -7 + y + -1(y + 7) = 9y Reorder the terms: -7 + y + -1(7 + y) = 9y -7 + y + (7 * -1 + y * -1) = 9y -7 + y + (-7 + -1y) = 9y Reorder the terms: -7 + -7 + y + -1y = 9y Combine like terms: -7 + -7 = -14 -14 + y + -1y = 9y Combine like terms: y + -1y = 0 -14 + 0 = 9y -14 = 9y Solving -14 = 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -14 + -9y = 9y + -9y Combine like terms: 9y + -9y = 0 -14 + -9y = 0 Add '14' to each side of the equation. -14 + 14 + -9y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -9y = 0 + 14 -9y = 0 + 14 Combine like terms: 0 + 14 = 14 -9y = 14 Divide each side by '-9'. y = -1.555555556 Simplifying y = -1.555555556
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