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Simplifying -38 = 2(y + 5) + -8y Reorder the terms: -38 = 2(5 + y) + -8y -38 = (5 * 2 + y * 2) + -8y -38 = (10 + 2y) + -8y Combine like terms: 2y + -8y = -6y -38 = 10 + -6y Solving -38 = 10 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -38 + 6y = 10 + -6y + 6y Combine like terms: -6y + 6y = 0 -38 + 6y = 10 + 0 -38 + 6y = 10 Add '38' to each side of the equation. -38 + 38 + 6y = 10 + 38 Combine like terms: -38 + 38 = 0 0 + 6y = 10 + 38 6y = 10 + 38 Combine like terms: 10 + 38 = 48 6y = 48 Divide each side by '6'. y = 8 Simplifying y = 8
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