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Simplifying 2(3y + 5) = 4y + -4 Reorder the terms: 2(5 + 3y) = 4y + -4 (5 * 2 + 3y * 2) = 4y + -4 (10 + 6y) = 4y + -4 Reorder the terms: 10 + 6y = -4 + 4y Solving 10 + 6y = -4 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 10 + 6y + -4y = -4 + 4y + -4y Combine like terms: 6y + -4y = 2y 10 + 2y = -4 + 4y + -4y Combine like terms: 4y + -4y = 0 10 + 2y = -4 + 0 10 + 2y = -4 Add '-10' to each side of the equation. 10 + -10 + 2y = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 2y = -4 + -10 2y = -4 + -10 Combine like terms: -4 + -10 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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