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Simplifying 4(y + 2) = 6(3 + -1y) Reorder the terms: 4(2 + y) = 6(3 + -1y) (2 * 4 + y * 4) = 6(3 + -1y) (8 + 4y) = 6(3 + -1y) 8 + 4y = (3 * 6 + -1y * 6) 8 + 4y = (18 + -6y) Solving 8 + 4y = 18 + -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. 8 + 4y + 6y = 18 + -6y + 6y Combine like terms: 4y + 6y = 10y 8 + 10y = 18 + -6y + 6y Combine like terms: -6y + 6y = 0 8 + 10y = 18 + 0 8 + 10y = 18 Add '-8' to each side of the equation. 8 + -8 + 10y = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 10y = 18 + -8 10y = 18 + -8 Combine like terms: 18 + -8 = 10 10y = 10 Divide each side by '10'. y = 1 Simplifying y = 1
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