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Simplifying 5y + -4(2y + 1) = 2(0.5 + -2y) Reorder the terms: 5y + -4(1 + 2y) = 2(0.5 + -2y) 5y + (1 * -4 + 2y * -4) = 2(0.5 + -2y) 5y + (-4 + -8y) = 2(0.5 + -2y) Reorder the terms: -4 + 5y + -8y = 2(0.5 + -2y) Combine like terms: 5y + -8y = -3y -4 + -3y = 2(0.5 + -2y) -4 + -3y = (0.5 * 2 + -2y * 2) -4 + -3y = (1 + -4y) Solving -4 + -3y = 1 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -4 + -3y + 4y = 1 + -4y + 4y Combine like terms: -3y + 4y = 1y -4 + 1y = 1 + -4y + 4y Combine like terms: -4y + 4y = 0 -4 + 1y = 1 + 0 -4 + 1y = 1 Add '4' to each side of the equation. -4 + 4 + 1y = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 1y = 1 + 4 1y = 1 + 4 Combine like terms: 1 + 4 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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