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Simplifying 2(4y + -1) = 3(y + 2) Reorder the terms: 2(-1 + 4y) = 3(y + 2) (-1 * 2 + 4y * 2) = 3(y + 2) (-2 + 8y) = 3(y + 2) Reorder the terms: -2 + 8y = 3(2 + y) -2 + 8y = (2 * 3 + y * 3) -2 + 8y = (6 + 3y) Solving -2 + 8y = 6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -2 + 8y + -3y = 6 + 3y + -3y Combine like terms: 8y + -3y = 5y -2 + 5y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 -2 + 5y = 6 + 0 -2 + 5y = 6 Add '2' to each side of the equation. -2 + 2 + 5y = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 5y = 6 + 2 5y = 6 + 2 Combine like terms: 6 + 2 = 8 5y = 8 Divide each side by '5'. y = 1.6 Simplifying y = 1.6
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