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Simplifying 38 = 5(y + 4) + -8y Reorder the terms: 38 = 5(4 + y) + -8y 38 = (4 * 5 + y * 5) + -8y 38 = (20 + 5y) + -8y Combine like terms: 5y + -8y = -3y 38 = 20 + -3y Solving 38 = 20 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 38 + 3y = 20 + -3y + 3y Combine like terms: -3y + 3y = 0 38 + 3y = 20 + 0 38 + 3y = 20 Add '-38' to each side of the equation. 38 + -38 + 3y = 20 + -38 Combine like terms: 38 + -38 = 0 0 + 3y = 20 + -38 3y = 20 + -38 Combine like terms: 20 + -38 = -18 3y = -18 Divide each side by '3'. y = -6 Simplifying y = -6
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