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Simplifying 5(4 + -2y) = -2(y + 5) (4 * 5 + -2y * 5) = -2(y + 5) (20 + -10y) = -2(y + 5) Reorder the terms: 20 + -10y = -2(5 + y) 20 + -10y = (5 * -2 + y * -2) 20 + -10y = (-10 + -2y) Solving 20 + -10y = -10 + -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 + -10y + 2y = -10 + -2y + 2y Combine like terms: -10y + 2y = -8y 20 + -8y = -10 + -2y + 2y Combine like terms: -2y + 2y = 0 20 + -8y = -10 + 0 20 + -8y = -10 Add '-20' to each side of the equation. 20 + -20 + -8y = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -8y = -10 + -20 -8y = -10 + -20 Combine like terms: -10 + -20 = -30 -8y = -30 Divide each side by '-8'. y = 3.75 Simplifying y = 3.75
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