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Simplifying 2(y + 9) = -2(4y + -2) + 2y Reorder the terms: 2(9 + y) = -2(4y + -2) + 2y (9 * 2 + y * 2) = -2(4y + -2) + 2y (18 + 2y) = -2(4y + -2) + 2y Reorder the terms: 18 + 2y = -2(-2 + 4y) + 2y 18 + 2y = (-2 * -2 + 4y * -2) + 2y 18 + 2y = (4 + -8y) + 2y Combine like terms: -8y + 2y = -6y 18 + 2y = 4 + -6y Solving 18 + 2y = 4 + -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. 18 + 2y + 6y = 4 + -6y + 6y Combine like terms: 2y + 6y = 8y 18 + 8y = 4 + -6y + 6y Combine like terms: -6y + 6y = 0 18 + 8y = 4 + 0 18 + 8y = 4 Add '-18' to each side of the equation. 18 + -18 + 8y = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 8y = 4 + -18 8y = 4 + -18 Combine like terms: 4 + -18 = -14 8y = -14 Divide each side by '8'. y = -1.75 Simplifying y = -1.75
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