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Simplifying 9y + -1(7y + 10) = 6 + -1(6y + -7) Reorder the terms: 9y + -1(10 + 7y) = 6 + -1(6y + -7) 9y + (10 * -1 + 7y * -1) = 6 + -1(6y + -7) 9y + (-10 + -7y) = 6 + -1(6y + -7) Reorder the terms: -10 + 9y + -7y = 6 + -1(6y + -7) Combine like terms: 9y + -7y = 2y -10 + 2y = 6 + -1(6y + -7) Reorder the terms: -10 + 2y = 6 + -1(-7 + 6y) -10 + 2y = 6 + (-7 * -1 + 6y * -1) -10 + 2y = 6 + (7 + -6y) Combine like terms: 6 + 7 = 13 -10 + 2y = 13 + -6y Solving -10 + 2y = 13 + -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. -10 + 2y + 6y = 13 + -6y + 6y Combine like terms: 2y + 6y = 8y -10 + 8y = 13 + -6y + 6y Combine like terms: -6y + 6y = 0 -10 + 8y = 13 + 0 -10 + 8y = 13 Add '10' to each side of the equation. -10 + 10 + 8y = 13 + 10 Combine like terms: -10 + 10 = 0 0 + 8y = 13 + 10 8y = 13 + 10 Combine like terms: 13 + 10 = 23 8y = 23 Divide each side by '8'. y = 2.875 Simplifying y = 2.875
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