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Simplifying 4(2y + -1) = 2(12 + -3y) Reorder the terms: 4(-1 + 2y) = 2(12 + -3y) (-1 * 4 + 2y * 4) = 2(12 + -3y) (-4 + 8y) = 2(12 + -3y) -4 + 8y = (12 * 2 + -3y * 2) -4 + 8y = (24 + -6y) Solving -4 + 8y = 24 + -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. -4 + 8y + 6y = 24 + -6y + 6y Combine like terms: 8y + 6y = 14y -4 + 14y = 24 + -6y + 6y Combine like terms: -6y + 6y = 0 -4 + 14y = 24 + 0 -4 + 14y = 24 Add '4' to each side of the equation. -4 + 4 + 14y = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 14y = 24 + 4 14y = 24 + 4 Combine like terms: 24 + 4 = 28 14y = 28 Divide each side by '14'. y = 2 Simplifying y = 2
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