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Simplifying (y + -6) + -1(y + 7) = 7y Reorder the terms: (-6 + y) + -1(y + 7) = 7y Remove parenthesis around (-6 + y) -6 + y + -1(y + 7) = 7y Reorder the terms: -6 + y + -1(7 + y) = 7y -6 + y + (7 * -1 + y * -1) = 7y -6 + y + (-7 + -1y) = 7y Reorder the terms: -6 + -7 + y + -1y = 7y Combine like terms: -6 + -7 = -13 -13 + y + -1y = 7y Combine like terms: y + -1y = 0 -13 + 0 = 7y -13 = 7y Solving -13 = 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. -13 + -7y = 7y + -7y Combine like terms: 7y + -7y = 0 -13 + -7y = 0 Add '13' to each side of the equation. -13 + 13 + -7y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -7y = 0 + 13 -7y = 0 + 13 Combine like terms: 0 + 13 = 13 -7y = 13 Divide each side by '-7'. y = -1.857142857 Simplifying y = -1.857142857
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