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Simplifying 2(y + 9) = -4(5y + -1) + 6y Reorder the terms: 2(9 + y) = -4(5y + -1) + 6y (9 * 2 + y * 2) = -4(5y + -1) + 6y (18 + 2y) = -4(5y + -1) + 6y Reorder the terms: 18 + 2y = -4(-1 + 5y) + 6y 18 + 2y = (-1 * -4 + 5y * -4) + 6y 18 + 2y = (4 + -20y) + 6y Combine like terms: -20y + 6y = -14y 18 + 2y = 4 + -14y Solving 18 + 2y = 4 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. 18 + 2y + 14y = 4 + -14y + 14y Combine like terms: 2y + 14y = 16y 18 + 16y = 4 + -14y + 14y Combine like terms: -14y + 14y = 0 18 + 16y = 4 + 0 18 + 16y = 4 Add '-18' to each side of the equation. 18 + -18 + 16y = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 16y = 4 + -18 16y = 4 + -18 Combine like terms: 4 + -18 = -14 16y = -14 Divide each side by '16'. y = -0.875 Simplifying y = -0.875
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