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Simplifying 8(y + -1) + -1y = 2(9 + -1y) Reorder the terms: 8(-1 + y) + -1y = 2(9 + -1y) (-1 * 8 + y * 8) + -1y = 2(9 + -1y) (-8 + 8y) + -1y = 2(9 + -1y) Combine like terms: 8y + -1y = 7y -8 + 7y = 2(9 + -1y) -8 + 7y = (9 * 2 + -1y * 2) -8 + 7y = (18 + -2y) Solving -8 + 7y = 18 + -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 + 7y + 2y = 18 + -2y + 2y Combine like terms: 7y + 2y = 9y -8 + 9y = 18 + -2y + 2y Combine like terms: -2y + 2y = 0 -8 + 9y = 18 + 0 -8 + 9y = 18 Add '8' to each side of the equation. -8 + 8 + 9y = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 9y = 18 + 8 9y = 18 + 8 Combine like terms: 18 + 8 = 26 9y = 26 Divide each side by '9'. y = 2.888888889 Simplifying y = 2.888888889
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