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Simplifying 4(2y + -8) = 14 + 6y Reorder the terms: 4(-8 + 2y) = 14 + 6y (-8 * 4 + 2y * 4) = 14 + 6y (-32 + 8y) = 14 + 6y Solving -32 + 8y = 14 + 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. -32 + 8y + -6y = 14 + 6y + -6y Combine like terms: 8y + -6y = 2y -32 + 2y = 14 + 6y + -6y Combine like terms: 6y + -6y = 0 -32 + 2y = 14 + 0 -32 + 2y = 14 Add '32' to each side of the equation. -32 + 32 + 2y = 14 + 32 Combine like terms: -32 + 32 = 0 0 + 2y = 14 + 32 2y = 14 + 32 Combine like terms: 14 + 32 = 46 2y = 46 Divide each side by '2'. y = 23 Simplifying y = 23
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