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Simplifying 3y + -1(7y + 9) = 2 + -1(11y + -7) Reorder the terms: 3y + -1(9 + 7y) = 2 + -1(11y + -7) 3y + (9 * -1 + 7y * -1) = 2 + -1(11y + -7) 3y + (-9 + -7y) = 2 + -1(11y + -7) Reorder the terms: -9 + 3y + -7y = 2 + -1(11y + -7) Combine like terms: 3y + -7y = -4y -9 + -4y = 2 + -1(11y + -7) Reorder the terms: -9 + -4y = 2 + -1(-7 + 11y) -9 + -4y = 2 + (-7 * -1 + 11y * -1) -9 + -4y = 2 + (7 + -11y) Combine like terms: 2 + 7 = 9 -9 + -4y = 9 + -11y Solving -9 + -4y = 9 + -11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11y' to each side of the equation. -9 + -4y + 11y = 9 + -11y + 11y Combine like terms: -4y + 11y = 7y -9 + 7y = 9 + -11y + 11y Combine like terms: -11y + 11y = 0 -9 + 7y = 9 + 0 -9 + 7y = 9 Add '9' to each side of the equation. -9 + 9 + 7y = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 7y = 9 + 9 7y = 9 + 9 Combine like terms: 9 + 9 = 18 7y = 18 Divide each side by '7'. y = 2.571428571 Simplifying y = 2.571428571
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