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Simplifying 5y + -1(2y + 7) = 9 + -1(6y + -7) Reorder the terms: 5y + -1(7 + 2y) = 9 + -1(6y + -7) 5y + (7 * -1 + 2y * -1) = 9 + -1(6y + -7) 5y + (-7 + -2y) = 9 + -1(6y + -7) Reorder the terms: -7 + 5y + -2y = 9 + -1(6y + -7) Combine like terms: 5y + -2y = 3y -7 + 3y = 9 + -1(6y + -7) Reorder the terms: -7 + 3y = 9 + -1(-7 + 6y) -7 + 3y = 9 + (-7 * -1 + 6y * -1) -7 + 3y = 9 + (7 + -6y) Combine like terms: 9 + 7 = 16 -7 + 3y = 16 + -6y Solving -7 + 3y = 16 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -7 + 3y + 6y = 16 + -6y + 6y Combine like terms: 3y + 6y = 9y -7 + 9y = 16 + -6y + 6y Combine like terms: -6y + 6y = 0 -7 + 9y = 16 + 0 -7 + 9y = 16 Add '7' to each side of the equation. -7 + 7 + 9y = 16 + 7 Combine like terms: -7 + 7 = 0 0 + 9y = 16 + 7 9y = 16 + 7 Combine like terms: 16 + 7 = 23 9y = 23 Divide each side by '9'. y = 2.555555556 Simplifying y = 2.555555556
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