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Simplifying (y + -7) + -1(y + 9) = 2y Reorder the terms: (-7 + y) + -1(y + 9) = 2y Remove parenthesis around (-7 + y) -7 + y + -1(y + 9) = 2y Reorder the terms: -7 + y + -1(9 + y) = 2y -7 + y + (9 * -1 + y * -1) = 2y -7 + y + (-9 + -1y) = 2y Reorder the terms: -7 + -9 + y + -1y = 2y Combine like terms: -7 + -9 = -16 -16 + y + -1y = 2y Combine like terms: y + -1y = 0 -16 + 0 = 2y -16 = 2y Solving -16 = 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. -16 + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -16 + -2y = 0 Add '16' to each side of the equation. -16 + 16 + -2y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -2y = 0 + 16 -2y = 0 + 16 Combine like terms: 0 + 16 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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