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Simplifying 2(2y + -1) = 3(1 + -2y) Reorder the terms: 2(-1 + 2y) = 3(1 + -2y) (-1 * 2 + 2y * 2) = 3(1 + -2y) (-2 + 4y) = 3(1 + -2y) -2 + 4y = (1 * 3 + -2y * 3) -2 + 4y = (3 + -6y) Solving -2 + 4y = 3 + -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. -2 + 4y + 6y = 3 + -6y + 6y Combine like terms: 4y + 6y = 10y -2 + 10y = 3 + -6y + 6y Combine like terms: -6y + 6y = 0 -2 + 10y = 3 + 0 -2 + 10y = 3 Add '2' to each side of the equation. -2 + 2 + 10y = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 10y = 3 + 2 10y = 3 + 2 Combine like terms: 3 + 2 = 5 10y = 5 Divide each side by '10'. y = 0.5 Simplifying y = 0.5
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