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Simplifying 14y + 24 = 2(5y + 8) Reorder the terms: 24 + 14y = 2(5y + 8) Reorder the terms: 24 + 14y = 2(8 + 5y) 24 + 14y = (8 * 2 + 5y * 2) 24 + 14y = (16 + 10y) Solving 24 + 14y = 16 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 24 + 14y + -10y = 16 + 10y + -10y Combine like terms: 14y + -10y = 4y 24 + 4y = 16 + 10y + -10y Combine like terms: 10y + -10y = 0 24 + 4y = 16 + 0 24 + 4y = 16 Add '-24' to each side of the equation. 24 + -24 + 4y = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 4y = 16 + -24 4y = 16 + -24 Combine like terms: 16 + -24 = -8 4y = -8 Divide each side by '4'. y = -2 Simplifying y = -2
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