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Simplifying (y + -7) + -1(y + 7) = 3y Reorder the terms: (-7 + y) + -1(y + 7) = 3y Remove parenthesis around (-7 + y) -7 + y + -1(y + 7) = 3y Reorder the terms: -7 + y + -1(7 + y) = 3y -7 + y + (7 * -1 + y * -1) = 3y -7 + y + (-7 + -1y) = 3y Reorder the terms: -7 + -7 + y + -1y = 3y Combine like terms: -7 + -7 = -14 -14 + y + -1y = 3y Combine like terms: y + -1y = 0 -14 + 0 = 3y -14 = 3y Solving -14 = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -14 + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 -14 + -3y = 0 Add '14' to each side of the equation. -14 + 14 + -3y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3y = 0 + 14 -3y = 0 + 14 Combine like terms: 0 + 14 = 14 -3y = 14 Divide each side by '-3'. y = -4.666666667 Simplifying y = -4.666666667
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