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Simplifying 2(y + 5) = -3(6y + -6) + 4y Reorder the terms: 2(5 + y) = -3(6y + -6) + 4y (5 * 2 + y * 2) = -3(6y + -6) + 4y (10 + 2y) = -3(6y + -6) + 4y Reorder the terms: 10 + 2y = -3(-6 + 6y) + 4y 10 + 2y = (-6 * -3 + 6y * -3) + 4y 10 + 2y = (18 + -18y) + 4y Combine like terms: -18y + 4y = -14y 10 + 2y = 18 + -14y Solving 10 + 2y = 18 + -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. 10 + 2y + 14y = 18 + -14y + 14y Combine like terms: 2y + 14y = 16y 10 + 16y = 18 + -14y + 14y Combine like terms: -14y + 14y = 0 10 + 16y = 18 + 0 10 + 16y = 18 Add '-10' to each side of the equation. 10 + -10 + 16y = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 16y = 18 + -10 16y = 18 + -10 Combine like terms: 18 + -10 = 8 16y = 8 Divide each side by '16'. y = 0.5 Simplifying y = 0.5
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