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Simplifying -38 = -7y + 2(y + 6) Reorder the terms: -38 = -7y + 2(6 + y) -38 = -7y + (6 * 2 + y * 2) -38 = -7y + (12 + 2y) Reorder the terms: -38 = 12 + -7y + 2y Combine like terms: -7y + 2y = -5y -38 = 12 + -5y Solving -38 = 12 + -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 = 12 + -5y + 5y Combine like terms: -5y + 5y = 0 -38 + 5y = 12 + 0 -38 + 5y = 12 Add '38' to each side of the equation. -38 + 38 + 5y = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 5y = 12 + 38 5y = 12 + 38 Combine like terms: 12 + 38 = 50 5y = 50 Divide each side by '5'. y = 10 Simplifying y = 10
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