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Simplifying (3y + 5) * 2 + (y + -4) * 2 = 6y Reorder the terms: (5 + 3y) * 2 + (y + -4) * 2 = 6y Reorder the terms for easier multiplication: 2(5 + 3y) + (y + -4) * 2 = 6y (5 * 2 + 3y * 2) + (y + -4) * 2 = 6y (10 + 6y) + (y + -4) * 2 = 6y Reorder the terms: 10 + 6y + (-4 + y) * 2 = 6y Reorder the terms for easier multiplication: 10 + 6y + 2(-4 + y) = 6y 10 + 6y + (-4 * 2 + y * 2) = 6y 10 + 6y + (-8 + 2y) = 6y Reorder the terms: 10 + -8 + 6y + 2y = 6y Combine like terms: 10 + -8 = 2 2 + 6y + 2y = 6y Combine like terms: 6y + 2y = 8y 2 + 8y = 6y Solving 2 + 8y = 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 2 + 8y + -6y = 6y + -6y Combine like terms: 8y + -6y = 2y 2 + 2y = 6y + -6y Combine like terms: 6y + -6y = 0 2 + 2y = 0 Add '-2' to each side of the equation. 2 + -2 + 2y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 0 + -2 2y = 0 + -2 Combine like terms: 0 + -2 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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