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Simplifying (y + -4) + -1(y + 7) = 9y Reorder the terms: (-4 + y) + -1(y + 7) = 9y Remove parenthesis around (-4 + y) -4 + y + -1(y + 7) = 9y Reorder the terms: -4 + y + -1(7 + y) = 9y -4 + y + (7 * -1 + y * -1) = 9y -4 + y + (-7 + -1y) = 9y Reorder the terms: -4 + -7 + y + -1y = 9y Combine like terms: -4 + -7 = -11 -11 + y + -1y = 9y Combine like terms: y + -1y = 0 -11 + 0 = 9y -11 = 9y Solving -11 = 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. -11 + -9y = 9y + -9y Combine like terms: 9y + -9y = 0 -11 + -9y = 0 Add '11' to each side of the equation. -11 + 11 + -9y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -9y = 0 + 11 -9y = 0 + 11 Combine like terms: 0 + 11 = 11 -9y = 11 Divide each side by '-9'. y = -1.222222222 Simplifying y = -1.222222222
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