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Simplifying 2(3y + -8) = 3y + 20 Reorder the terms: 2(-8 + 3y) = 3y + 20 (-8 * 2 + 3y * 2) = 3y + 20 (-16 + 6y) = 3y + 20 Reorder the terms: -16 + 6y = 20 + 3y Solving -16 + 6y = 20 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -16 + 6y + -3y = 20 + 3y + -3y Combine like terms: 6y + -3y = 3y -16 + 3y = 20 + 3y + -3y Combine like terms: 3y + -3y = 0 -16 + 3y = 20 + 0 -16 + 3y = 20 Add '16' to each side of the equation. -16 + 16 + 3y = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 3y = 20 + 16 3y = 20 + 16 Combine like terms: 20 + 16 = 36 3y = 36 Divide each side by '3'. y = 12 Simplifying y = 12
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