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Simplifying 4(5 + -1y) = 8(3 + -1y) (5 * 4 + -1y * 4) = 8(3 + -1y) (20 + -4y) = 8(3 + -1y) 20 + -4y = (3 * 8 + -1y * 8) 20 + -4y = (24 + -8y) Solving 20 + -4y = 24 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 20 + -4y + 8y = 24 + -8y + 8y Combine like terms: -4y + 8y = 4y 20 + 4y = 24 + -8y + 8y Combine like terms: -8y + 8y = 0 20 + 4y = 24 + 0 20 + 4y = 24 Add '-20' to each side of the equation. 20 + -20 + 4y = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 4y = 24 + -20 4y = 24 + -20 Combine like terms: 24 + -20 = 4 4y = 4 Divide each side by '4'. y = 1 Simplifying y = 1
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