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Simplifying 38 = -7y + 2(y + 4) Reorder the terms: 38 = -7y + 2(4 + y) 38 = -7y + (4 * 2 + y * 2) 38 = -7y + (8 + 2y) Reorder the terms: 38 = 8 + -7y + 2y Combine like terms: -7y + 2y = -5y 38 = 8 + -5y Solving 38 = 8 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 38 + 5y = 8 + -5y + 5y Combine like terms: -5y + 5y = 0 38 + 5y = 8 + 0 38 + 5y = 8 Add '-38' to each side of the equation. 38 + -38 + 5y = 8 + -38 Combine like terms: 38 + -38 = 0 0 + 5y = 8 + -38 5y = 8 + -38 Combine like terms: 8 + -38 = -30 5y = -30 Divide each side by '5'. y = -6 Simplifying y = -6
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