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Simplifying 6(4 + y) = 5(y + -2) (4 * 6 + y * 6) = 5(y + -2) (24 + 6y) = 5(y + -2) Reorder the terms: 24 + 6y = 5(-2 + y) 24 + 6y = (-2 * 5 + y * 5) 24 + 6y = (-10 + 5y) Solving 24 + 6y = -10 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 24 + 6y + -5y = -10 + 5y + -5y Combine like terms: 6y + -5y = 1y 24 + 1y = -10 + 5y + -5y Combine like terms: 5y + -5y = 0 24 + 1y = -10 + 0 24 + 1y = -10 Add '-24' to each side of the equation. 24 + -24 + 1y = -10 + -24 Combine like terms: 24 + -24 = 0 0 + 1y = -10 + -24 1y = -10 + -24 Combine like terms: -10 + -24 = -34 1y = -34 Divide each side by '1'. y = -34 Simplifying y = -34
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