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Simplifying 9(y + -2) = 2(4y + 2) + -22 Reorder the terms: 9(-2 + y) = 2(4y + 2) + -22 (-2 * 9 + y * 9) = 2(4y + 2) + -22 (-18 + 9y) = 2(4y + 2) + -22 Reorder the terms: -18 + 9y = 2(2 + 4y) + -22 -18 + 9y = (2 * 2 + 4y * 2) + -22 -18 + 9y = (4 + 8y) + -22 Reorder the terms: -18 + 9y = 4 + -22 + 8y Combine like terms: 4 + -22 = -18 -18 + 9y = -18 + 8y Add '18' to each side of the equation. -18 + 18 + 9y = -18 + 18 + 8y Combine like terms: -18 + 18 = 0 0 + 9y = -18 + 18 + 8y 9y = -18 + 18 + 8y Combine like terms: -18 + 18 = 0 9y = 0 + 8y 9y = 8y Solving 9y = 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 9y + -8y = 8y + -8y Combine like terms: 9y + -8y = 1y 1y = 8y + -8y Combine like terms: 8y + -8y = 0 1y = 0 Divide each side by '1'. y = 0 Simplifying y = 0
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