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Simplifying 38 = 2 + -3(y + -5) Reorder the terms: 38 = 2 + -3(-5 + y) 38 = 2 + (-5 * -3 + y * -3) 38 = 2 + (15 + -3y) Combine like terms: 2 + 15 = 17 38 = 17 + -3y Solving 38 = 17 + -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 = 17 + -3y + 3y Combine like terms: -3y + 3y = 0 38 + 3y = 17 + 0 38 + 3y = 17 Add '-38' to each side of the equation. 38 + -38 + 3y = 17 + -38 Combine like terms: 38 + -38 = 0 0 + 3y = 17 + -38 3y = 17 + -38 Combine like terms: 17 + -38 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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