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Simplifying 4(5 + -2y) = 2(1 + -1y) (5 * 4 + -2y * 4) = 2(1 + -1y) (20 + -8y) = 2(1 + -1y) 20 + -8y = (1 * 2 + -1y * 2) 20 + -8y = (2 + -2y) Solving 20 + -8y = 2 + -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 + -8y + 2y = 2 + -2y + 2y Combine like terms: -8y + 2y = -6y 20 + -6y = 2 + -2y + 2y Combine like terms: -2y + 2y = 0 20 + -6y = 2 + 0 20 + -6y = 2 Add '-20' to each side of the equation. 20 + -20 + -6y = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -6y = 2 + -20 -6y = 2 + -20 Combine like terms: 2 + -20 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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