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Simplifying 6(y + 3) = -5(2y + -4) + 2y Reorder the terms: 6(3 + y) = -5(2y + -4) + 2y (3 * 6 + y * 6) = -5(2y + -4) + 2y (18 + 6y) = -5(2y + -4) + 2y Reorder the terms: 18 + 6y = -5(-4 + 2y) + 2y 18 + 6y = (-4 * -5 + 2y * -5) + 2y 18 + 6y = (20 + -10y) + 2y Combine like terms: -10y + 2y = -8y 18 + 6y = 20 + -8y Solving 18 + 6y = 20 + -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. 18 + 6y + 8y = 20 + -8y + 8y Combine like terms: 6y + 8y = 14y 18 + 14y = 20 + -8y + 8y Combine like terms: -8y + 8y = 0 18 + 14y = 20 + 0 18 + 14y = 20 Add '-18' to each side of the equation. 18 + -18 + 14y = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 14y = 20 + -18 14y = 20 + -18 Combine like terms: 20 + -18 = 2 14y = 2 Divide each side by '14'. y = 0.1428571429 Simplifying y = 0.1428571429
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