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Simplifying 4(6y + 2) = -2(5y + 18) Reorder the terms: 4(2 + 6y) = -2(5y + 18) (2 * 4 + 6y * 4) = -2(5y + 18) (8 + 24y) = -2(5y + 18) Reorder the terms: 8 + 24y = -2(18 + 5y) 8 + 24y = (18 * -2 + 5y * -2) 8 + 24y = (-36 + -10y) Solving 8 + 24y = -36 + -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. 8 + 24y + 10y = -36 + -10y + 10y Combine like terms: 24y + 10y = 34y 8 + 34y = -36 + -10y + 10y Combine like terms: -10y + 10y = 0 8 + 34y = -36 + 0 8 + 34y = -36 Add '-8' to each side of the equation. 8 + -8 + 34y = -36 + -8 Combine like terms: 8 + -8 = 0 0 + 34y = -36 + -8 34y = -36 + -8 Combine like terms: -36 + -8 = -44 34y = -44 Divide each side by '34'. y = -1.294117647 Simplifying y = -1.294117647
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