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Simplifying 2(y + 3) = -5(4y + -4) + 6y Reorder the terms: 2(3 + y) = -5(4y + -4) + 6y (3 * 2 + y * 2) = -5(4y + -4) + 6y (6 + 2y) = -5(4y + -4) + 6y Reorder the terms: 6 + 2y = -5(-4 + 4y) + 6y 6 + 2y = (-4 * -5 + 4y * -5) + 6y 6 + 2y = (20 + -20y) + 6y Combine like terms: -20y + 6y = -14y 6 + 2y = 20 + -14y Solving 6 + 2y = 20 + -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. 6 + 2y + 14y = 20 + -14y + 14y Combine like terms: 2y + 14y = 16y 6 + 16y = 20 + -14y + 14y Combine like terms: -14y + 14y = 0 6 + 16y = 20 + 0 6 + 16y = 20 Add '-6' to each side of the equation. 6 + -6 + 16y = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 16y = 20 + -6 16y = 20 + -6 Combine like terms: 20 + -6 = 14 16y = 14 Divide each side by '16'. y = 0.875 Simplifying y = 0.875
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