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Simplifying 9y + -1(6y + 8) = 9 + -1(2y + -4) Reorder the terms: 9y + -1(8 + 6y) = 9 + -1(2y + -4) 9y + (8 * -1 + 6y * -1) = 9 + -1(2y + -4) 9y + (-8 + -6y) = 9 + -1(2y + -4) Reorder the terms: -8 + 9y + -6y = 9 + -1(2y + -4) Combine like terms: 9y + -6y = 3y -8 + 3y = 9 + -1(2y + -4) Reorder the terms: -8 + 3y = 9 + -1(-4 + 2y) -8 + 3y = 9 + (-4 * -1 + 2y * -1) -8 + 3y = 9 + (4 + -2y) Combine like terms: 9 + 4 = 13 -8 + 3y = 13 + -2y Solving -8 + 3y = 13 + -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. -8 + 3y + 2y = 13 + -2y + 2y Combine like terms: 3y + 2y = 5y -8 + 5y = 13 + -2y + 2y Combine like terms: -2y + 2y = 0 -8 + 5y = 13 + 0 -8 + 5y = 13 Add '8' to each side of the equation. -8 + 8 + 5y = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 13 + 8 5y = 13 + 8 Combine like terms: 13 + 8 = 21 5y = 21 Divide each side by '5'. y = 4.2 Simplifying y = 4.2
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