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Simplifying (y + -9) + -1(y + 6 + 2y) = 2y Reorder the terms: (-9 + y) + -1(y + 6 + 2y) = 2y Remove parenthesis around (-9 + y) -9 + y + -1(y + 6 + 2y) = 2y Reorder the terms: -9 + y + -1(6 + y + 2y) = 2y Combine like terms: y + 2y = 3y -9 + y + -1(6 + 3y) = 2y -9 + y + (6 * -1 + 3y * -1) = 2y -9 + y + (-6 + -3y) = 2y Reorder the terms: -9 + -6 + y + -3y = 2y Combine like terms: -9 + -6 = -15 -15 + y + -3y = 2y Combine like terms: y + -3y = -2y -15 + -2y = 2y Solving -15 + -2y = 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. -15 + -2y + -2y = 2y + -2y Combine like terms: -2y + -2y = -4y -15 + -4y = 2y + -2y Combine like terms: 2y + -2y = 0 -15 + -4y = 0 Add '15' to each side of the equation. -15 + 15 + -4y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4y = 0 + 15 -4y = 0 + 15 Combine like terms: 0 + 15 = 15 -4y = 15 Divide each side by '-4'. y = -3.75 Simplifying y = -3.75
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