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Simplifying (y + -6) + -1(y + 4) = 9y Reorder the terms: (-6 + y) + -1(y + 4) = 9y Remove parenthesis around (-6 + y) -6 + y + -1(y + 4) = 9y Reorder the terms: -6 + y + -1(4 + y) = 9y -6 + y + (4 * -1 + y * -1) = 9y -6 + y + (-4 + -1y) = 9y Reorder the terms: -6 + -4 + y + -1y = 9y Combine like terms: -6 + -4 = -10 -10 + y + -1y = 9y Combine like terms: y + -1y = 0 -10 + 0 = 9y -10 = 9y Solving -10 = 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. -10 + -9y = 9y + -9y Combine like terms: 9y + -9y = 0 -10 + -9y = 0 Add '10' to each side of the equation. -10 + 10 + -9y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -9y = 0 + 10 -9y = 0 + 10 Combine like terms: 0 + 10 = 10 -9y = 10 Divide each side by '-9'. y = -1.111111111 Simplifying y = -1.111111111
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