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Simplifying 9y + -1(2y + 1) = 4y + 8 Reorder the terms: 9y + -1(1 + 2y) = 4y + 8 9y + (1 * -1 + 2y * -1) = 4y + 8 9y + (-1 + -2y) = 4y + 8 Reorder the terms: -1 + 9y + -2y = 4y + 8 Combine like terms: 9y + -2y = 7y -1 + 7y = 4y + 8 Reorder the terms: -1 + 7y = 8 + 4y Solving -1 + 7y = 8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -1 + 7y + -4y = 8 + 4y + -4y Combine like terms: 7y + -4y = 3y -1 + 3y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 -1 + 3y = 8 + 0 -1 + 3y = 8 Add '1' to each side of the equation. -1 + 1 + 3y = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3y = 8 + 1 3y = 8 + 1 Combine like terms: 8 + 1 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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