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Simplifying -3y + -1(-7y + 6) = -9 + 2(9 + -1y) Reorder the terms: -3y + -1(6 + -7y) = -9 + 2(9 + -1y) -3y + (6 * -1 + -7y * -1) = -9 + 2(9 + -1y) -3y + (-6 + 7y) = -9 + 2(9 + -1y) Reorder the terms: -6 + -3y + 7y = -9 + 2(9 + -1y) Combine like terms: -3y + 7y = 4y -6 + 4y = -9 + 2(9 + -1y) -6 + 4y = -9 + (9 * 2 + -1y * 2) -6 + 4y = -9 + (18 + -2y) Combine like terms: -9 + 18 = 9 -6 + 4y = 9 + -2y Solving -6 + 4y = 9 + -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. -6 + 4y + 2y = 9 + -2y + 2y Combine like terms: 4y + 2y = 6y -6 + 6y = 9 + -2y + 2y Combine like terms: -2y + 2y = 0 -6 + 6y = 9 + 0 -6 + 6y = 9 Add '6' to each side of the equation. -6 + 6 + 6y = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 6y = 9 + 6 6y = 9 + 6 Combine like terms: 9 + 6 = 15 6y = 15 Divide each side by '6'. y = 2.5 Simplifying y = 2.5
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