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Simplifying (y + -5) + -1(y + 9) = 7y Reorder the terms: (-5 + y) + -1(y + 9) = 7y Remove parenthesis around (-5 + y) -5 + y + -1(y + 9) = 7y Reorder the terms: -5 + y + -1(9 + y) = 7y -5 + y + (9 * -1 + y * -1) = 7y -5 + y + (-9 + -1y) = 7y Reorder the terms: -5 + -9 + y + -1y = 7y Combine like terms: -5 + -9 = -14 -14 + y + -1y = 7y Combine like terms: y + -1y = 0 -14 + 0 = 7y -14 = 7y Solving -14 = 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -14 + -7y = 7y + -7y Combine like terms: 7y + -7y = 0 -14 + -7y = 0 Add '14' to each side of the equation. -14 + 14 + -7y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -7y = 0 + 14 -7y = 0 + 14 Combine like terms: 0 + 14 = 14 -7y = 14 Divide each side by '-7'. y = -2 Simplifying y = -2
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