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Simplifying 4(2y + -1) = 2(12 + -1y) Reorder the terms: 4(-1 + 2y) = 2(12 + -1y) (-1 * 4 + 2y * 4) = 2(12 + -1y) (-4 + 8y) = 2(12 + -1y) -4 + 8y = (12 * 2 + -1y * 2) -4 + 8y = (24 + -2y) Solving -4 + 8y = 24 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -4 + 8y + 2y = 24 + -2y + 2y Combine like terms: 8y + 2y = 10y -4 + 10y = 24 + -2y + 2y Combine like terms: -2y + 2y = 0 -4 + 10y = 24 + 0 -4 + 10y = 24 Add '4' to each side of the equation. -4 + 4 + 10y = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 10y = 24 + 4 10y = 24 + 4 Combine like terms: 24 + 4 = 28 10y = 28 Divide each side by '10'. y = 2.8 Simplifying y = 2.8
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