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Simplifying 4y + -6 + -2(2y + -5) = 2(3y + 8) Reorder the terms: 4y + -6 + -2(-5 + 2y) = 2(3y + 8) 4y + -6 + (-5 * -2 + 2y * -2) = 2(3y + 8) 4y + -6 + (10 + -4y) = 2(3y + 8) Reorder the terms: -6 + 10 + 4y + -4y = 2(3y + 8) Combine like terms: -6 + 10 = 4 4 + 4y + -4y = 2(3y + 8) Combine like terms: 4y + -4y = 0 4 + 0 = 2(3y + 8) 4 = 2(3y + 8) Reorder the terms: 4 = 2(8 + 3y) 4 = (8 * 2 + 3y * 2) 4 = (16 + 6y) Solving 4 = 16 + 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. 4 + -6y = 16 + 6y + -6y Combine like terms: 6y + -6y = 0 4 + -6y = 16 + 0 4 + -6y = 16 Add '-4' to each side of the equation. 4 + -4 + -6y = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -6y = 16 + -4 -6y = 16 + -4 Combine like terms: 16 + -4 = 12 -6y = 12 Divide each side by '-6'. y = -2 Simplifying y = -2
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