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Simplifying (y + -5) + -1(y + 7) = 2y Reorder the terms: (-5 + y) + -1(y + 7) = 2y Remove parenthesis around (-5 + y) -5 + y + -1(y + 7) = 2y Reorder the terms: -5 + y + -1(7 + y) = 2y -5 + y + (7 * -1 + y * -1) = 2y -5 + y + (-7 + -1y) = 2y Reorder the terms: -5 + -7 + y + -1y = 2y Combine like terms: -5 + -7 = -12 -12 + y + -1y = 2y Combine like terms: y + -1y = 0 -12 + 0 = 2y -12 = 2y Solving -12 = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -12 + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -12 + -2y = 0 Add '12' to each side of the equation. -12 + 12 + -2y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2y = 0 + 12 -2y = 0 + 12 Combine like terms: 0 + 12 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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