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Simplifying 4(-1y + -5) = 0.5(8 + -4y) Reorder the terms: 4(-5 + -1y) = 0.5(8 + -4y) (-5 * 4 + -1y * 4) = 0.5(8 + -4y) (-20 + -4y) = 0.5(8 + -4y) -20 + -4y = (8 * 0.5 + -4y * 0.5) -20 + -4y = (4 + -2y) Solving -20 + -4y = 4 + -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. -20 + -4y + 2y = 4 + -2y + 2y Combine like terms: -4y + 2y = -2y -20 + -2y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 -20 + -2y = 4 + 0 -20 + -2y = 4 Add '20' to each side of the equation. -20 + 20 + -2y = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -2y = 4 + 20 -2y = 4 + 20 Combine like terms: 4 + 20 = 24 -2y = 24 Divide each side by '-2'. y = -12 Simplifying y = -12
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