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Simplifying (y + -7) + -1(y + -6) = 9y Reorder the terms: (-7 + y) + -1(y + -6) = 9y Remove parenthesis around (-7 + y) -7 + y + -1(y + -6) = 9y Reorder the terms: -7 + y + -1(-6 + y) = 9y -7 + y + (-6 * -1 + y * -1) = 9y -7 + y + (6 + -1y) = 9y Reorder the terms: -7 + 6 + y + -1y = 9y Combine like terms: -7 + 6 = -1 -1 + y + -1y = 9y Combine like terms: y + -1y = 0 -1 + 0 = 9y -1 = 9y Solving -1 = 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. -1 + -9y = 9y + -9y Combine like terms: 9y + -9y = 0 -1 + -9y = 0 Add '1' to each side of the equation. -1 + 1 + -9y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9y = 0 + 1 -9y = 0 + 1 Combine like terms: 0 + 1 = 1 -9y = 1 Divide each side by '-9'. y = -0.1111111111 Simplifying y = -0.1111111111
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